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Simplifying 13x2 + 78x + 125 = 8 Reorder the terms: 125 + 78x + 13x2 = 8 Solving 125 + 78x + 13x2 = 8 Solving for variable 'x'. Reorder the terms: 125 + -8 + 78x + 13x2 = 8 + -8 Combine like terms: 125 + -8 = 117 117 + 78x + 13x2 = 8 + -8 Combine like terms: 8 + -8 = 0 117 + 78x + 13x2 = 0 Factor out the Greatest Common Factor (GCF), '13'. 13(9 + 6x + x2) = 0 Factor a trinomial. 13((3 + x)(3 + x)) = 0 Ignore the factor 13.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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