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Simplifying 2x2 = -13x + -15 Reorder the terms: 2x2 = -15 + -13x Solving 2x2 = -15 + -13x Solving for variable 'x'. Reorder the terms: 15 + 13x + 2x2 = -15 + -13x + 15 + 13x Reorder the terms: 15 + 13x + 2x2 = -15 + 15 + -13x + 13x Combine like terms: -15 + 15 = 0 15 + 13x + 2x2 = 0 + -13x + 13x 15 + 13x + 2x2 = -13x + 13x Combine like terms: -13x + 13x = 0 15 + 13x + 2x2 = 0 Factor a trinomial. (5 + x)(3 + 2x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-5, -1.5}
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