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Simplifying 3x(3x + -1) = 72 Reorder the terms: 3x(-1 + 3x) = 72 (-1 * 3x + 3x * 3x) = 72 (-3x + 9x2) = 72 Solving -3x + 9x2 = 72 Solving for variable 'x'. Reorder the terms: -72 + -3x + 9x2 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + -3x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -1x + 3x2) = 0 Factor a trinomial. 3((-8 + -3x)(3 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-2.666666667, 3}
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