-8x^2+16x=-24

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Solution for -8x^2+16x=-24 equation:


Simplifying
-8x2 + 16x = -24

Reorder the terms:
16x + -8x2 = -24

Solving
16x + -8x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + 16x + -8x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 16x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + 2x + -1x2) = 0

Factor a trinomial.
8((3 + -1x)(1 + x)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {3, -1}

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