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Simplifying (x + 12)(x + -1) = 2(x + -6) + -20 Reorder the terms: (12 + x)(x + -1) = 2(x + -6) + -20 Reorder the terms: (12 + x)(-1 + x) = 2(x + -6) + -20 Multiply (12 + x) * (-1 + x) (12(-1 + x) + x(-1 + x)) = 2(x + -6) + -20 ((-1 * 12 + x * 12) + x(-1 + x)) = 2(x + -6) + -20 ((-12 + 12x) + x(-1 + x)) = 2(x + -6) + -20 (-12 + 12x + (-1 * x + x * x)) = 2(x + -6) + -20 (-12 + 12x + (-1x + x2)) = 2(x + -6) + -20 Combine like terms: 12x + -1x = 11x (-12 + 11x + x2) = 2(x + -6) + -20 Reorder the terms: -12 + 11x + x2 = 2(-6 + x) + -20 -12 + 11x + x2 = (-6 * 2 + x * 2) + -20 -12 + 11x + x2 = (-12 + 2x) + -20 Reorder the terms: -12 + 11x + x2 = -12 + -20 + 2x Combine like terms: -12 + -20 = -32 -12 + 11x + x2 = -32 + 2x Solving -12 + 11x + x2 = -32 + 2x Solving for variable 'x'. Reorder the terms: -12 + 32 + 11x + -2x + x2 = -32 + 2x + 32 + -2x Combine like terms: -12 + 32 = 20 20 + 11x + -2x + x2 = -32 + 2x + 32 + -2x Combine like terms: 11x + -2x = 9x 20 + 9x + x2 = -32 + 2x + 32 + -2x Reorder the terms: 20 + 9x + x2 = -32 + 32 + 2x + -2x Combine like terms: -32 + 32 = 0 20 + 9x + x2 = 0 + 2x + -2x 20 + 9x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 20 + 9x + x2 = 0 Factor a trinomial. (5 + x)(4 + x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-5, -4}
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