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Simplifying 45X2 + 60X + -60 = 0 Reorder the terms: -60 + 60X + 45X2 = 0 Solving -60 + 60X + 45X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '15'. 15(-4 + 4X + 3X2) = 0 Factor a trinomial. 15((-2 + -1X)(2 + -3X)) = 0 Ignore the factor 15.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 '(2 + -3X)' equal to zero and attempt to solve: Simplifying 2 + -3X = 0 Solving 2 + -3X = 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 + -3X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3X = 0 + -2 -3X = 0 + -2 Combine like terms: 0 + -2 = -2 -3X = -2 Divide each side by '-3'. X = 0.6666666667 Simplifying X = 0.6666666667Solution
X = {-2, 0.6666666667}
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