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Simplifying X2 + 9X + X2 + 9X = 180 Reorder the terms: 9X + 9X + X2 + X2 = 180 Combine like terms: 9X + 9X = 18X 18X + X2 + X2 = 180 Combine like terms: X2 + X2 = 2X2 18X + 2X2 = 180 Solving 18X + 2X2 = 180 Solving for variable 'X'. Reorder the terms: -180 + 18X + 2X2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 18X + 2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-90 + 9X + X2) = 0 Factor a trinomial. 2((-15 + -1X)(6 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + -1X)' equal to zero and attempt to solve: Simplifying -15 + -1X = 0 Solving -15 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1X = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1X = 0 + 15 -1X = 0 + 15 Combine like terms: 0 + 15 = 15 -1X = 15 Divide each side by '-1'. X = -15 Simplifying X = -15Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve: Simplifying 6 + -1X = 0 Solving 6 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X = 0 + -6 -1X = 0 + -6 Combine like terms: 0 + -6 = -6 -1X = -6 Divide each side by '-1'. X = 6 Simplifying X = 6Solution
X = {-15, 6}
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