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Simplifying (x + 2)(x + 2) = (2x + -1)(x + -4) Reorder the terms: (2 + x)(x + 2) = (2x + -1)(x + -4) Reorder the terms: (2 + x)(2 + x) = (2x + -1)(x + -4) Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) = (2x + -1)(x + -4) ((2 * 2 + x * 2) + x(2 + x)) = (2x + -1)(x + -4) ((4 + 2x) + x(2 + x)) = (2x + -1)(x + -4) (4 + 2x + (2 * x + x * x)) = (2x + -1)(x + -4) (4 + 2x + (2x + x2)) = (2x + -1)(x + -4) Combine like terms: 2x + 2x = 4x (4 + 4x + x2) = (2x + -1)(x + -4) Reorder the terms: 4 + 4x + x2 = (-1 + 2x)(x + -4) Reorder the terms: 4 + 4x + x2 = (-1 + 2x)(-4 + x) Multiply (-1 + 2x) * (-4 + x) 4 + 4x + x2 = (-1(-4 + x) + 2x * (-4 + x)) 4 + 4x + x2 = ((-4 * -1 + x * -1) + 2x * (-4 + x)) 4 + 4x + x2 = ((4 + -1x) + 2x * (-4 + x)) 4 + 4x + x2 = (4 + -1x + (-4 * 2x + x * 2x)) 4 + 4x + x2 = (4 + -1x + (-8x + 2x2)) Combine like terms: -1x + -8x = -9x 4 + 4x + x2 = (4 + -9x + 2x2) Add '-4' to each side of the equation. 4 + 4x + -4 + x2 = 4 + -9x + -4 + 2x2 Reorder the terms: 4 + -4 + 4x + x2 = 4 + -9x + -4 + 2x2 Combine like terms: 4 + -4 = 0 0 + 4x + x2 = 4 + -9x + -4 + 2x2 4x + x2 = 4 + -9x + -4 + 2x2 Reorder the terms: 4x + x2 = 4 + -4 + -9x + 2x2 Combine like terms: 4 + -4 = 0 4x + x2 = 0 + -9x + 2x2 4x + x2 = -9x + 2x2 Solving 4x + x2 = -9x + 2x2 Solving for variable 'x'. Reorder the terms: 4x + 9x + x2 + -2x2 = -9x + 2x2 + 9x + -2x2 Combine like terms: 4x + 9x = 13x 13x + x2 + -2x2 = -9x + 2x2 + 9x + -2x2 Combine like terms: x2 + -2x2 = -1x2 13x + -1x2 = -9x + 2x2 + 9x + -2x2 Reorder the terms: 13x + -1x2 = -9x + 9x + 2x2 + -2x2 Combine like terms: -9x + 9x = 0 13x + -1x2 = 0 + 2x2 + -2x2 13x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 13x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(13 + -1x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {0, 13}
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