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Simplifying -24X2 + -150X + -150 = 0 Reorder the terms: -150 + -150X + -24X2 = 0 Solving -150 + -150X + -24X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '-6'. -6(25 + 25X + 4X2) = 0 Factor a trinomial. -6((5 + X)(5 + 4X)) = 0 Ignore the factor -6.Subproblem 1
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 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 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Subproblem 2
Set the factor '(5 + 4X)' equal to zero and attempt to solve: Simplifying 5 + 4X = 0 Solving 5 + 4X = 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 + 4X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4X = 0 + -5 4X = 0 + -5 Combine like terms: 0 + -5 = -5 4X = -5 Divide each side by '4'. X = -1.25 Simplifying X = -1.25Solution
X = {-5, -1.25}
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