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Simplifying 5x(x + -6) + 12(x + -6) = 0 Reorder the terms: 5x(-6 + x) + 12(x + -6) = 0 (-6 * 5x + x * 5x) + 12(x + -6) = 0 (-30x + 5x2) + 12(x + -6) = 0 Reorder the terms: -30x + 5x2 + 12(-6 + x) = 0 -30x + 5x2 + (-6 * 12 + x * 12) = 0 -30x + 5x2 + (-72 + 12x) = 0 Reorder the terms: -72 + -30x + 12x + 5x2 = 0 Combine like terms: -30x + 12x = -18x -72 + -18x + 5x2 = 0 Solving -72 + -18x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-12 + -5x)(6 + -1x) = 0Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve: Simplifying -12 + -5x = 0 Solving -12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 0 + 12 -5x = 0 + 12 Combine like terms: 0 + 12 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4Subproblem 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 = {-2.4, 6}
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