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Simplifying (x + -1)(x + 6) = 6x Reorder the terms: (-1 + x)(x + 6) = 6x Reorder the terms: (-1 + x)(6 + x) = 6x Multiply (-1 + x) * (6 + x) (-1(6 + x) + x(6 + x)) = 6x ((6 * -1 + x * -1) + x(6 + x)) = 6x ((-6 + -1x) + x(6 + x)) = 6x (-6 + -1x + (6 * x + x * x)) = 6x (-6 + -1x + (6x + x2)) = 6x Combine like terms: -1x + 6x = 5x (-6 + 5x + x2) = 6x Solving -6 + 5x + x2 = 6x Solving for variable 'x'. Reorder the terms: -6 + 5x + -6x + x2 = 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x + x2 = 0 Factor a trinomial. (-2 + -1x)(3 + -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 '(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 = 3Solution
x = {-2, 3}
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