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Simplifying 2x2 + 8x + 16 = x2 + 16x + 64 Reorder the terms: 16 + 8x + 2x2 = x2 + 16x + 64 Reorder the terms: 16 + 8x + 2x2 = 64 + 16x + x2 Solving 16 + 8x + 2x2 = 64 + 16x + x2 Solving for variable 'x'. Reorder the terms: 16 + -64 + 8x + -16x + 2x2 + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Combine like terms: 16 + -64 = -48 -48 + 8x + -16x + 2x2 + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Combine like terms: 8x + -16x = -8x -48 + -8x + 2x2 + -1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -48 + -8x + 1x2 = 64 + 16x + x2 + -64 + -16x + -1x2 Reorder the terms: -48 + -8x + 1x2 = 64 + -64 + 16x + -16x + x2 + -1x2 Combine like terms: 64 + -64 = 0 -48 + -8x + 1x2 = 0 + 16x + -16x + x2 + -1x2 -48 + -8x + 1x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 -48 + -8x + 1x2 = 0 + x2 + -1x2 -48 + -8x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -48 + -8x + 1x2 = 0 Factor a trinomial. (-4 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-4, 12}
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