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Simplifying 27x2 + -270 = 81x Reorder the terms: -270 + 27x2 = 81x Solving -270 + 27x2 = 81x Solving for variable 'x'. Reorder the terms: -270 + -81x + 27x2 = 81x + -81x Combine like terms: 81x + -81x = 0 -270 + -81x + 27x2 = 0 Factor out the Greatest Common Factor (GCF), '27'. 27(-10 + -3x + x2) = 0 Factor a trinomial. 27((-2 + -1x)(5 + -1x)) = 0 Ignore the factor 27.Subproblem 1
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 = -2Subproblem 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 = {-2, 5}
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