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Simplifying (x + -9)(3x + -1) = -52x + -39 Reorder the terms: (-9 + x)(3x + -1) = -52x + -39 Reorder the terms: (-9 + x)(-1 + 3x) = -52x + -39 Multiply (-9 + x) * (-1 + 3x) (-9(-1 + 3x) + x(-1 + 3x)) = -52x + -39 ((-1 * -9 + 3x * -9) + x(-1 + 3x)) = -52x + -39 ((9 + -27x) + x(-1 + 3x)) = -52x + -39 (9 + -27x + (-1 * x + 3x * x)) = -52x + -39 (9 + -27x + (-1x + 3x2)) = -52x + -39 Combine like terms: -27x + -1x = -28x (9 + -28x + 3x2) = -52x + -39 Reorder the terms: 9 + -28x + 3x2 = -39 + -52x Solving 9 + -28x + 3x2 = -39 + -52x Solving for variable 'x'. Reorder the terms: 9 + 39 + -28x + 52x + 3x2 = -39 + -52x + 39 + 52x Combine like terms: 9 + 39 = 48 48 + -28x + 52x + 3x2 = -39 + -52x + 39 + 52x Combine like terms: -28x + 52x = 24x 48 + 24x + 3x2 = -39 + -52x + 39 + 52x Reorder the terms: 48 + 24x + 3x2 = -39 + 39 + -52x + 52x Combine like terms: -39 + 39 = 0 48 + 24x + 3x2 = 0 + -52x + 52x 48 + 24x + 3x2 = -52x + 52x Combine like terms: -52x + 52x = 0 48 + 24x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(16 + 8x + x2) = 0 Factor a trinomial. 3((4 + x)(4 + x)) = 0 Ignore the factor 3.Subproblem 1
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 = -4Subproblem 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 = {-4, -4}
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