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