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Simplifying -16x = x2 + 64 Reorder the terms: -16x = 64 + x2 Solving -16x = 64 + x2 Solving for variable 'x'. Reorder the terms: -64 + -16x + -1x2 = 64 + x2 + -64 + -1x2 Reorder the terms: -64 + -16x + -1x2 = 64 + -64 + x2 + -1x2 Combine like terms: 64 + -64 = 0 -64 + -16x + -1x2 = 0 + x2 + -1x2 -64 + -16x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -64 + -16x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(64 + 16x + x2) = 0 Factor a trinomial. -1((8 + x)(8 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-8, -8}
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