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Simplifying 0 = (x + 3)(2x + -5x + -9) Reorder the terms: 0 = (3 + x)(2x + -5x + -9) Reorder the terms: 0 = (3 + x)(-9 + 2x + -5x) Combine like terms: 2x + -5x = -3x 0 = (3 + x)(-9 + -3x) Multiply (3 + x) * (-9 + -3x) 0 = (3(-9 + -3x) + x(-9 + -3x)) 0 = ((-9 * 3 + -3x * 3) + x(-9 + -3x)) 0 = ((-27 + -9x) + x(-9 + -3x)) 0 = (-27 + -9x + (-9 * x + -3x * x)) 0 = (-27 + -9x + (-9x + -3x2)) Combine like terms: -9x + -9x = -18x 0 = (-27 + -18x + -3x2) Solving 0 = -27 + -18x + -3x2 Solving for variable 'x'. Combine like terms: 0 + 27 = 27 27 + 18x + 3x2 = -27 + -18x + -3x2 + 27 + 18x + 3x2 Reorder the terms: 27 + 18x + 3x2 = -27 + 27 + -18x + 18x + -3x2 + 3x2 Combine like terms: -27 + 27 = 0 27 + 18x + 3x2 = 0 + -18x + 18x + -3x2 + 3x2 27 + 18x + 3x2 = -18x + 18x + -3x2 + 3x2 Combine like terms: -18x + 18x = 0 27 + 18x + 3x2 = 0 + -3x2 + 3x2 27 + 18x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 27 + 18x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(9 + 6x + x2) = 0 Factor a trinomial. 3((3 + x)(3 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-3, -3}
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