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Simplifying x2 + 13x + 15 = 2x + 5 Reorder the terms: 15 + 13x + x2 = 2x + 5 Reorder the terms: 15 + 13x + x2 = 5 + 2x Solving 15 + 13x + x2 = 5 + 2x Solving for variable 'x'. Reorder the terms: 15 + -5 + 13x + -2x + x2 = 5 + 2x + -5 + -2x Combine like terms: 15 + -5 = 10 10 + 13x + -2x + x2 = 5 + 2x + -5 + -2x Combine like terms: 13x + -2x = 11x 10 + 11x + x2 = 5 + 2x + -5 + -2x Reorder the terms: 10 + 11x + x2 = 5 + -5 + 2x + -2x Combine like terms: 5 + -5 = 0 10 + 11x + x2 = 0 + 2x + -2x 10 + 11x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 10 + 11x + x2 = 0 Factor a trinomial. (10 + x)(1 + x) = 0Subproblem 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-10, -1}
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