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Simplifying (3x + 5)(x + -6) = 0 Reorder the terms: (5 + 3x)(x + -6) = 0 Reorder the terms: (5 + 3x)(-6 + x) = 0 Multiply (5 + 3x) * (-6 + x) (5(-6 + x) + 3x * (-6 + x)) = 0 ((-6 * 5 + x * 5) + 3x * (-6 + x)) = 0 ((-30 + 5x) + 3x * (-6 + x)) = 0 (-30 + 5x + (-6 * 3x + x * 3x)) = 0 (-30 + 5x + (-18x + 3x2)) = 0 Combine like terms: 5x + -18x = -13x (-30 + -13x + 3x2) = 0 Solving -30 + -13x + 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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