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Simplifying 2x = (x + -4)(x + -4) Reorder the terms: 2x = (-4 + x)(x + -4) Reorder the terms: 2x = (-4 + x)(-4 + x) Multiply (-4 + x) * (-4 + x) 2x = (-4(-4 + x) + x(-4 + x)) 2x = ((-4 * -4 + x * -4) + x(-4 + x)) 2x = ((16 + -4x) + x(-4 + x)) 2x = (16 + -4x + (-4 * x + x * x)) 2x = (16 + -4x + (-4x + x2)) Combine like terms: -4x + -4x = -8x 2x = (16 + -8x + x2) Solving 2x = 16 + -8x + x2 Solving for variable 'x'. Reorder the terms: -16 + 2x + 8x + -1x2 = 16 + -8x + x2 + -16 + 8x + -1x2 Combine like terms: 2x + 8x = 10x -16 + 10x + -1x2 = 16 + -8x + x2 + -16 + 8x + -1x2 Reorder the terms: -16 + 10x + -1x2 = 16 + -16 + -8x + 8x + x2 + -1x2 Combine like terms: 16 + -16 = 0 -16 + 10x + -1x2 = 0 + -8x + 8x + x2 + -1x2 -16 + 10x + -1x2 = -8x + 8x + x2 + -1x2 Combine like terms: -8x + 8x = 0 -16 + 10x + -1x2 = 0 + x2 + -1x2 -16 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + 10x + -1x2 = 0 Factor a trinomial. (-8 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {8, 2}
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