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Simplifying 0 = x2 + 13x + 30 Reorder the terms: 0 = 30 + 13x + x2 Solving 0 = 30 + 13x + x2 Solving for variable 'x'. Combine like terms: 0 + -30 = -30 -30 + -13x + -1x2 = 30 + 13x + x2 + -30 + -13x + -1x2 Reorder the terms: -30 + -13x + -1x2 = 30 + -30 + 13x + -13x + x2 + -1x2 Combine like terms: 30 + -30 = 0 -30 + -13x + -1x2 = 0 + 13x + -13x + x2 + -1x2 -30 + -13x + -1x2 = 13x + -13x + x2 + -1x2 Combine like terms: 13x + -13x = 0 -30 + -13x + -1x2 = 0 + x2 + -1x2 -30 + -13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -30 + -13x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(30 + 13x + x2) = 0 Factor a trinomial. -1((10 + x)(3 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 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 = {-10, -3}
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