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Simplifying x(x + -8) = -16(x + 1) Reorder the terms: x(-8 + x) = -16(x + 1) (-8 * x + x * x) = -16(x + 1) (-8x + x2) = -16(x + 1) Reorder the terms: -8x + x2 = -16(1 + x) -8x + x2 = (1 * -16 + x * -16) -8x + x2 = (-16 + -16x) Solving -8x + x2 = -16 + -16x Solving for variable 'x'. Reorder the terms: 16 + -8x + 16x + x2 = -16 + -16x + 16 + 16x Combine like terms: -8x + 16x = 8x 16 + 8x + x2 = -16 + -16x + 16 + 16x Reorder the terms: 16 + 8x + x2 = -16 + 16 + -16x + 16x Combine like terms: -16 + 16 = 0 16 + 8x + x2 = 0 + -16x + 16x 16 + 8x + x2 = -16x + 16x Combine like terms: -16x + 16x = 0 16 + 8x + x2 = 0 Factor a trinomial. (4 + x)(4 + x) = 0Subproblem 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 '(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 = -4Solution
x = {-4, -4}
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