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Simplifying 15(X)(X + 2) = 2145 Reorder the terms: 15X(2 + X) = 2145 (2 * 15X + X * 15X) = 2145 (30X + 15X2) = 2145 Solving 30X + 15X2 = 2145 Solving for variable 'X'. Reorder the terms: -2145 + 30X + 15X2 = 2145 + -2145 Combine like terms: 2145 + -2145 = 0 -2145 + 30X + 15X2 = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(-143 + 2X + X2) = 0 Factor a trinomial. 15((-13 + -1X)(11 + -1X)) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(-13 + -1X)' equal to zero and attempt to solve: Simplifying -13 + -1X = 0 Solving -13 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1X = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1X = 0 + 13 -1X = 0 + 13 Combine like terms: 0 + 13 = 13 -1X = 13 Divide each side by '-1'. X = -13 Simplifying X = -13Subproblem 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 = {-13, 11}
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