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