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Simplifying x2 + -4x + -4x + 16 = 2x2 + -2x + 24 Reorder the terms: 16 + -4x + -4x + x2 = 2x2 + -2x + 24 Combine like terms: -4x + -4x = -8x 16 + -8x + x2 = 2x2 + -2x + 24 Reorder the terms: 16 + -8x + x2 = 24 + -2x + 2x2 Solving 16 + -8x + x2 = 24 + -2x + 2x2 Solving for variable 'x'. Reorder the terms: 16 + -24 + -8x + 2x + x2 + -2x2 = 24 + -2x + 2x2 + -24 + 2x + -2x2 Combine like terms: 16 + -24 = -8 -8 + -8x + 2x + x2 + -2x2 = 24 + -2x + 2x2 + -24 + 2x + -2x2 Combine like terms: -8x + 2x = -6x -8 + -6x + x2 + -2x2 = 24 + -2x + 2x2 + -24 + 2x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -8 + -6x + -1x2 = 24 + -2x + 2x2 + -24 + 2x + -2x2 Reorder the terms: -8 + -6x + -1x2 = 24 + -24 + -2x + 2x + 2x2 + -2x2 Combine like terms: 24 + -24 = 0 -8 + -6x + -1x2 = 0 + -2x + 2x + 2x2 + -2x2 -8 + -6x + -1x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 -8 + -6x + -1x2 = 0 + 2x2 + -2x2 -8 + -6x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8 + -6x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 6x + x2) = 0 Factor a trinomial. -1((4 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-4, -2}
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