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Simplifying x2 + 13 + 6x + -4 = -3x + -9 Reorder the terms: 13 + -4 + 6x + x2 = -3x + -9 Combine like terms: 13 + -4 = 9 9 + 6x + x2 = -3x + -9 Reorder the terms: 9 + 6x + x2 = -9 + -3x Solving 9 + 6x + x2 = -9 + -3x Solving for variable 'x'. Reorder the terms: 9 + 9 + 6x + 3x + x2 = -9 + -3x + 9 + 3x Combine like terms: 9 + 9 = 18 18 + 6x + 3x + x2 = -9 + -3x + 9 + 3x Combine like terms: 6x + 3x = 9x 18 + 9x + x2 = -9 + -3x + 9 + 3x Reorder the terms: 18 + 9x + x2 = -9 + 9 + -3x + 3x Combine like terms: -9 + 9 = 0 18 + 9x + x2 = 0 + -3x + 3x 18 + 9x + x2 = -3x + 3x Combine like terms: -3x + 3x = 0 18 + 9x + x2 = 0 Factor a trinomial. (6 + x)(3 + x) = 0Subproblem 1
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 = -6Subproblem 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 = {-6, -3}
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