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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. (-6 + -1x)(5 + -3x) = 0Subproblem 1
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 = -6Subproblem 2
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 = 1.666666667Solution
x = {-6, 1.666666667}
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