-8x^2-16x=8

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


Simplifying
-8x2 + -16x = 8

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

Solving
-16x + -8x2 = 8

Solving for variable 'x'.

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

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

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

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

Ignore the factor -8.

Subproblem 1

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

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 = {-1, -1}

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