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Simplifying 5x(x + -6) + 3(x + -6) = 0 Reorder the terms: 5x(-6 + x) + 3(x + -6) = 0 (-6 * 5x + x * 5x) + 3(x + -6) = 0 (-30x + 5x2) + 3(x + -6) = 0 Reorder the terms: -30x + 5x2 + 3(-6 + x) = 0 -30x + 5x2 + (-6 * 3 + x * 3) = 0 -30x + 5x2 + (-18 + 3x) = 0 Reorder the terms: -18 + -30x + 3x + 5x2 = 0 Combine like terms: -30x + 3x = -27x -18 + -27x + 5x2 = 0 Solving -18 + -27x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x)(6 + -1x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 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 = {-0.6, 6}
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