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Simplifying 27x2 + 18x = 36x + 72 Reorder the terms: 18x + 27x2 = 36x + 72 Reorder the terms: 18x + 27x2 = 72 + 36x Solving 18x + 27x2 = 72 + 36x Solving for variable 'x'. Reorder the terms: -72 + 18x + -36x + 27x2 = 72 + 36x + -72 + -36x Combine like terms: 18x + -36x = -18x -72 + -18x + 27x2 = 72 + 36x + -72 + -36x Reorder the terms: -72 + -18x + 27x2 = 72 + -72 + 36x + -36x Combine like terms: 72 + -72 = 0 -72 + -18x + 27x2 = 0 + 36x + -36x -72 + -18x + 27x2 = 36x + -36x Combine like terms: 36x + -36x = 0 -72 + -18x + 27x2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(-8 + -2x + 3x2) = 0 Factor a trinomial. 9((-4 + -3x)(2 + -1x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-1.333333333, 2}
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