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Simplifying (x + 9)(2x + -1) = -3x + -59 Reorder the terms: (9 + x)(2x + -1) = -3x + -59 Reorder the terms: (9 + x)(-1 + 2x) = -3x + -59 Multiply (9 + x) * (-1 + 2x) (9(-1 + 2x) + x(-1 + 2x)) = -3x + -59 ((-1 * 9 + 2x * 9) + x(-1 + 2x)) = -3x + -59 ((-9 + 18x) + x(-1 + 2x)) = -3x + -59 (-9 + 18x + (-1 * x + 2x * x)) = -3x + -59 (-9 + 18x + (-1x + 2x2)) = -3x + -59 Combine like terms: 18x + -1x = 17x (-9 + 17x + 2x2) = -3x + -59 Reorder the terms: -9 + 17x + 2x2 = -59 + -3x Solving -9 + 17x + 2x2 = -59 + -3x Solving for variable 'x'. Reorder the terms: -9 + 59 + 17x + 3x + 2x2 = -59 + -3x + 59 + 3x Combine like terms: -9 + 59 = 50 50 + 17x + 3x + 2x2 = -59 + -3x + 59 + 3x Combine like terms: 17x + 3x = 20x 50 + 20x + 2x2 = -59 + -3x + 59 + 3x Reorder the terms: 50 + 20x + 2x2 = -59 + 59 + -3x + 3x Combine like terms: -59 + 59 = 0 50 + 20x + 2x2 = 0 + -3x + 3x 50 + 20x + 2x2 = -3x + 3x Combine like terms: -3x + 3x = 0 50 + 20x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 10x + x2) = 0 Factor a trinomial. 2((5 + x)(5 + x)) = 0 Ignore the factor 2.Subproblem 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 '(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 = -5Solution
x = {-5, -5}
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