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Tobie
Mathematics
25 May, 07:12
Solve for x
2x/3 + 2 = 16
+1
Answers (
2
)
Roselyn Estrada
25 May, 07:30
0
2x/3 + 2 = 16
=21
Step-by-step explanation:
Standard form:
2
3
x - 14 = 0
Factorization:
2
3 (x - 21) = 0
Solutions:
x = 42
2
= 21
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Jordyn Cortez
25 May, 07:36
0
21
Step-by-step explanation:
The first term is, 4x2 its coefficient is 4.
The middle term is, - 12x its coefficient is - 12.
The last term, "the constant", is - 7
Step-1 : Multiply the coefficient of the first term by the constant 4 • - 7 = - 28
Step-2 : Find two factors of - 28 whose sum equals the coefficient of the middle term, which is - 12.
-28 + 1 = - 27
-14 + 2 = - 12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 14 and 2
4x2 - 14x + 2x - 7
Step-4 : Add up the first 2 terms, pulling out like factors:
2x • (2x-7)
Add up the last 2 terms, pulling out common factors:
1 • (2x-7)
Step-5 : Add up the four terms of step 4:
(2x+1) • (2x-7)
Which is the desired factorization
Equation at the end of step 1:
(2x - 7) • (2x + 1) = 0
Step 2:
Theory - Roots of a product:
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : 2x-7 = 0
Add 7 to both sides of the equation:
2x = 7
Divide both sides of the equation by 2:
x = 21
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