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Simplifying x(x + 16) = 32(x + -2) Reorder the terms: x(16 + x) = 32(x + -2) (16 * x + x * x) = 32(x + -2) (16x + x2) = 32(x + -2) Reorder the terms: 16x + x2 = 32(-2 + x) 16x + x2 = (-2 * 32 + x * 32) 16x + x2 = (-64 + 32x) Solving 16x + x2 = -64 + 32x Solving for variable 'x'. Reorder the terms: 64 + 16x + -32x + x2 = -64 + 32x + 64 + -32x Combine like terms: 16x + -32x = -16x 64 + -16x + x2 = -64 + 32x + 64 + -32x Reorder the terms: 64 + -16x + x2 = -64 + 64 + 32x + -32x Combine like terms: -64 + 64 = 0 64 + -16x + x2 = 0 + 32x + -32x 64 + -16x + x2 = 32x + -32x Combine like terms: 32x + -32x = 0 64 + -16x + x2 = 0 Factor a trinomial. (8 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {8, 8}
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