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Simplifying (2x + -8)(x + -8) = x(x + -8) Reorder the terms: (-8 + 2x)(x + -8) = x(x + -8) Reorder the terms: (-8 + 2x)(-8 + x) = x(x + -8) Multiply (-8 + 2x) * (-8 + x) (-8(-8 + x) + 2x * (-8 + x)) = x(x + -8) ((-8 * -8 + x * -8) + 2x * (-8 + x)) = x(x + -8) ((64 + -8x) + 2x * (-8 + x)) = x(x + -8) (64 + -8x + (-8 * 2x + x * 2x)) = x(x + -8) (64 + -8x + (-16x + 2x2)) = x(x + -8) Combine like terms: -8x + -16x = -24x (64 + -24x + 2x2) = x(x + -8) Reorder the terms: 64 + -24x + 2x2 = x(-8 + x) 64 + -24x + 2x2 = (-8 * x + x * x) 64 + -24x + 2x2 = (-8x + x2) Solving 64 + -24x + 2x2 = -8x + x2 Solving for variable 'x'. Reorder the terms: 64 + -24x + 8x + 2x2 + -1x2 = -8x + x2 + 8x + -1x2 Combine like terms: -24x + 8x = -16x 64 + -16x + 2x2 + -1x2 = -8x + x2 + 8x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 64 + -16x + 1x2 = -8x + x2 + 8x + -1x2 Reorder the terms: 64 + -16x + 1x2 = -8x + 8x + x2 + -1x2 Combine like terms: -8x + 8x = 0 64 + -16x + 1x2 = 0 + x2 + -1x2 64 + -16x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 64 + -16x + 1x2 = 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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