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Simplifying (x + -6)(-3x + 15) = 0 Reorder the terms: (-6 + x)(-3x + 15) = 0 Reorder the terms: (-6 + x)(15 + -3x) = 0 Multiply (-6 + x) * (15 + -3x) (-6(15 + -3x) + x(15 + -3x)) = 0 ((15 * -6 + -3x * -6) + x(15 + -3x)) = 0 ((-90 + 18x) + x(15 + -3x)) = 0 (-90 + 18x + (15 * x + -3x * x)) = 0 (-90 + 18x + (15x + -3x2)) = 0 Combine like terms: 18x + 15x = 33x (-90 + 33x + -3x2) = 0 Solving -90 + 33x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-30 + 11x + -1x2) = 0 Factor a trinomial. 3((-6 + x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 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 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {6, 5}
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