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Josh
Mathematics
19 March, 10:48
2x^2-12x-32=0 solution
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Marco Bird
19 March, 10:58
0
x = - 2, x = 8
Step-by-step explanation:
Given
2x² - 12x - 32 = 0 (divide all terms by 2)
x² - 6x - 16 = 0
Consider the factors of the constant term ( - 16) which sum to give the coefficient of the x - term ( - 6)
The factors are - 8 and + 2, since
- 8 * 2 = - 16 and - 8 + 2 = - 6, hence
(x - 8) (x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 8 = 0 ⇒ x = 8
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Bella Gilbert
19 March, 11:15
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Answer: x=-2 or x=8
Step-by-step explanation:
Step 1: Factor left side of equation.
2 (x+2) (x-8) = 0
Step 2: Set factors equal to 0.
x+2=0 or x-8=0
x=-2 or x=8
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