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Simplifying 2x2 + 26x = -60 Reorder the terms: 26x + 2x2 = -60 Solving 26x + 2x2 = -60 Solving for variable 'x'. Reorder the terms: 60 + 26x + 2x2 = -60 + 60 Combine like terms: -60 + 60 = 0 60 + 26x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(30 + 13x + x2) = 0 Factor a trinomial. 2((10 + x)(3 + x)) = 0 Ignore the factor 2.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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