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Simplifying 2x + -3 + x2 + -6x = 9x + 27 Reorder the terms: -3 + 2x + -6x + x2 = 9x + 27 Combine like terms: 2x + -6x = -4x -3 + -4x + x2 = 9x + 27 Reorder the terms: -3 + -4x + x2 = 27 + 9x Solving -3 + -4x + x2 = 27 + 9x Solving for variable 'x'. Reorder the terms: -3 + -27 + -4x + -9x + x2 = 27 + 9x + -27 + -9x Combine like terms: -3 + -27 = -30 -30 + -4x + -9x + x2 = 27 + 9x + -27 + -9x Combine like terms: -4x + -9x = -13x -30 + -13x + x2 = 27 + 9x + -27 + -9x Reorder the terms: -30 + -13x + x2 = 27 + -27 + 9x + -9x Combine like terms: 27 + -27 = 0 -30 + -13x + x2 = 0 + 9x + -9x -30 + -13x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -30 + -13x + x2 = 0 Factor a trinomial. (-2 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-2, 15}
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