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Simplifying x2 = -13x + -42 Reorder the terms: x2 = -42 + -13x Solving x2 = -42 + -13x Solving for variable 'x'. Reorder the terms: 42 + 13x + x2 = -42 + -13x + 42 + 13x Reorder the terms: 42 + 13x + x2 = -42 + 42 + -13x + 13x Combine like terms: -42 + 42 = 0 42 + 13x + x2 = 0 + -13x + 13x 42 + 13x + x2 = -13x + 13x Combine like terms: -13x + 13x = 0 42 + 13x + x2 = 0 Factor a trinomial. (7 + x)(6 + x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-7, -6}
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