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Simplifying 3x * x + -18x + 15 = 180 Multiply x * x 3x2 + -18x + 15 = 180 Reorder the terms: 15 + -18x + 3x2 = 180 Solving 15 + -18x + 3x2 = 180 Solving for variable 'x'. Reorder the terms: 15 + -180 + -18x + 3x2 = 180 + -180 Combine like terms: 15 + -180 = -165 -165 + -18x + 3x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -165 + -18x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-55 + -6x + x2) = 0 Factor a trinomial. 3((-5 + -1x)(11 + -1x)) = 0 Ignore the factor 3.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 '(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 = {-5, 11}
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