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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 + -1x)(4 + -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 '(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 = 4Solution
x = {4, 4}
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