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Simplifying 3x(x + -6) + -5(x + -6) = 0 Reorder the terms: 3x(-6 + x) + -5(x + -6) = 0 (-6 * 3x + x * 3x) + -5(x + -6) = 0 (-18x + 3x2) + -5(x + -6) = 0 Reorder the terms: -18x + 3x2 + -5(-6 + x) = 0 -18x + 3x2 + (-6 * -5 + x * -5) = 0 -18x + 3x2 + (30 + -5x) = 0 Reorder the terms: 30 + -18x + -5x + 3x2 = 0 Combine like terms: -18x + -5x = -23x 30 + -23x + 3x2 = 0 Solving 30 + -23x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -3x)(6 + -1x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 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 = {1.666666667, 6}
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