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Simplifying 72X2 + 14X + -30 = 0 Reorder the terms: -30 + 14X + 72X2 = 0 Solving -30 + 14X + 72X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 7X + 36X2) = 0 Factor a trinomial. 2((-3 + -4X)(5 + -9X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -4X)' equal to zero and attempt to solve: Simplifying -3 + -4X = 0 Solving -3 + -4X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4X = 0 + 3 -4X = 0 + 3 Combine like terms: 0 + 3 = 3 -4X = 3 Divide each side by '-4'. X = -0.75 Simplifying X = -0.75Subproblem 2
Set the factor '(5 + -9X)' equal to zero and attempt to solve: Simplifying 5 + -9X = 0 Solving 5 + -9X = 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 + -9X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9X = 0 + -5 -9X = 0 + -5 Combine like terms: 0 + -5 = -5 -9X = -5 Divide each side by '-9'. X = 0.5555555556 Simplifying X = 0.5555555556Solution
X = {-0.75, 0.5555555556}
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