Sign In
Ask Question
Bizzy
Mathematics
9 August, 19:32
How to factor 4x^2-12=2x
+3
Answers (
1
)
Kaleb
9 August, 20:01
0
2 (x - 2) (2x + 3) = 0
Step-by-step explanation:
Given
4x² - 12 = 2x (subtract 2x from both sides)
4x² - 2x - 12 = 0 ← factor out 2 from each term
2 (2x² - x - 6) = 0
To factor the quadratic
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term
product = 2 * - 6 = - 12 and sum = - 1
The factors are - 4 and + 3
Use these factors to split the x - term
2x² - 4x + 3x - 6 (factor the first/second and third/fourth terms)
2x (x - 2) + 3 (x - 2) ← factor out (x - 2) from each term
(x - 2) (2x + 3), thus
2x² - x - 6 = (x - 2) (2x + 3) and
4x² - 2x - 12 = 0
2 (x - 2) (2x + 3) = 0 ← in factored form
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“How to factor 4x^2-12=2x ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
Sam traveled 3/4 of a journey by bus. He jogged 1/2 of the remaining distance and walked the rest of the way. If he walked 800 feet, what was the total distance he traveled?
Answers (1)
What is 4.7 x 4.75 =
Answers (1)
Julia needs 45 yards of fabric for 9 costumes how many yards does she need per costume
Answers (2)
Nadia bought five tickets to attend a spaghetti dinner fundraiser at school the equation 5x = 32.50 can be used to find x, the cost of each ticket in dollars. Which equation represents the cost of each ticket
Answers (1)
How many solutions can be found for the linear equation? 3 (x/2 + 5) - 6 = (9x + 18) / 3 A) no solutions B) one solution C) two solutions D) infinitely many solutions
Answers (2)
New Questions in Mathematics
A newspaper reporter wants to know how popular the hobby of bird watching is in the city. He asked people at the local bird refuge if they watched birds as a hobby. Which of the following best explains whether the reporters data is valid or not?
Answers (1)
I am very confused on how to figure out if y = 3/4x is proportional?
Answers (2)
Alison wants to buy a mountain bike for $339.12. If she saves $28.26 each month, in how many months will she be able to buy the bike?
Answers (2)
At 12 o'clock the temperature was 7°C. The temperature decreased by - 20°C. What is the new temperature?
Answers (1)
Ashleys rentals charges $27.50 per hour to rent a surfboard and a wetsuit. Darlas surf shop charges $23.25 per hour to rent a surfboard plus $17 extra for a wetsuit.
Answers (1)
Home
»
Mathematics
» How to factor 4x^2-12=2x
Sign In
Ask Question
Menu
Calculator
Subjects
History
English
Mathematics
Biology
Physics
Chemistry
Geography
Social Studies
Business
Law
Arts
SAT
Advanced Placement (AP)
Computers & Technology
Engineering
Sign In
close
Sign In
Sign Up
Forgot Password?