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Simplifying 3x2 + 27x = 66 Reorder the terms: 27x + 3x2 = 66 Solving 27x + 3x2 = 66 Solving for variable 'x'. Reorder the terms: -66 + 27x + 3x2 = 66 + -66 Combine like terms: 66 + -66 = 0 -66 + 27x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-22 + 9x + x2) = 0 Factor a trinomial. 3((-11 + -1x)(2 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 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 = {-11, 2}
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