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Simplifying 3x2 = 39x + -66 Reorder the terms: 3x2 = -66 + 39x Solving 3x2 = -66 + 39x Solving for variable 'x'. Reorder the terms: 66 + -39x + 3x2 = -66 + 39x + 66 + -39x Reorder the terms: 66 + -39x + 3x2 = -66 + 66 + 39x + -39x Combine like terms: -66 + 66 = 0 66 + -39x + 3x2 = 0 + 39x + -39x 66 + -39x + 3x2 = 39x + -39x Combine like terms: 39x + -39x = 0 66 + -39x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(22 + -13x + x2) = 0 Factor a trinomial. 3((2 + -1x)(11 + -1x)) = 0 Ignore the factor 3.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 '(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 = 11Solution
x = {2, 11}
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