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Simplifying x(x + 3) + -6(x + 3) = 0 Reorder the terms: x(3 + x) + -6(x + 3) = 0 (3 * x + x * x) + -6(x + 3) = 0 (3x + x2) + -6(x + 3) = 0 Reorder the terms: 3x + x2 + -6(3 + x) = 0 3x + x2 + (3 * -6 + x * -6) = 0 3x + x2 + (-18 + -6x) = 0 Reorder the terms: -18 + 3x + -6x + x2 = 0 Combine like terms: 3x + -6x = -3x -18 + -3x + x2 = 0 Solving -18 + -3x + x2 = 0 Solving for variable 'x'. 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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