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Simplifying 5x + -15 + 18x + -36 = x2 + 20x + -69 Reorder the terms: -15 + -36 + 5x + 18x = x2 + 20x + -69 Combine like terms: -15 + -36 = -51 -51 + 5x + 18x = x2 + 20x + -69 Combine like terms: 5x + 18x = 23x -51 + 23x = x2 + 20x + -69 Reorder the terms: -51 + 23x = -69 + 20x + x2 Solving -51 + 23x = -69 + 20x + x2 Solving for variable 'x'. Reorder the terms: -51 + 69 + 23x + -20x + -1x2 = -69 + 20x + x2 + 69 + -20x + -1x2 Combine like terms: -51 + 69 = 18 18 + 23x + -20x + -1x2 = -69 + 20x + x2 + 69 + -20x + -1x2 Combine like terms: 23x + -20x = 3x 18 + 3x + -1x2 = -69 + 20x + x2 + 69 + -20x + -1x2 Reorder the terms: 18 + 3x + -1x2 = -69 + 69 + 20x + -20x + x2 + -1x2 Combine like terms: -69 + 69 = 0 18 + 3x + -1x2 = 0 + 20x + -20x + x2 + -1x2 18 + 3x + -1x2 = 20x + -20x + x2 + -1x2 Combine like terms: 20x + -20x = 0 18 + 3x + -1x2 = 0 + x2 + -1x2 18 + 3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + 3x + -1x2 = 0 Factor a trinomial. (6 + -1x)(3 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. 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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