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