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Simplifying 27x2 + -945 = 54x Reorder the terms: -945 + 27x2 = 54x Solving -945 + 27x2 = 54x Solving for variable 'x'. Reorder the terms: -945 + -54x + 27x2 = 54x + -54x Combine like terms: 54x + -54x = 0 -945 + -54x + 27x2 = 0 Factor out the Greatest Common Factor (GCF), '27'. 27(-35 + -2x + x2) = 0 Factor a trinomial. 27((-5 + -1x)(7 + -1x)) = 0 Ignore the factor 27.Subproblem 1
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 = -5Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-5, 7}
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