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Simplifying x(x + -4) = -4(2x + 1) Reorder the terms: x(-4 + x) = -4(2x + 1) (-4 * x + x * x) = -4(2x + 1) (-4x + x2) = -4(2x + 1) Reorder the terms: -4x + x2 = -4(1 + 2x) -4x + x2 = (1 * -4 + 2x * -4) -4x + x2 = (-4 + -8x) Solving -4x + x2 = -4 + -8x Solving for variable 'x'. Reorder the terms: 4 + -4x + 8x + x2 = -4 + -8x + 4 + 8x Combine like terms: -4x + 8x = 4x 4 + 4x + x2 = -4 + -8x + 4 + 8x Reorder the terms: 4 + 4x + x2 = -4 + 4 + -8x + 8x Combine like terms: -4 + 4 = 0 4 + 4x + x2 = 0 + -8x + 8x 4 + 4x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 4 + 4x + x2 = 0 Factor a trinomial. (2 + x)(2 + x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2, -2}
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