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Simplifying 24X2 + 34X + -10 = 0 Reorder the terms: -10 + 34X + 24X2 = 0 Solving -10 + 34X + 24X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 17X + 12X2) = 0 Factor a trinomial. 2((-5 + -3X)(1 + -4X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -3X)' equal to zero and attempt to solve: Simplifying -5 + -3X = 0 Solving -5 + -3X = 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 + -3X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3X = 0 + 5 -3X = 0 + 5 Combine like terms: 0 + 5 = 5 -3X = 5 Divide each side by '-3'. X = -1.666666667 Simplifying X = -1.666666667Subproblem 2
Set the factor '(1 + -4X)' equal to zero and attempt to solve: Simplifying 1 + -4X = 0 Solving 1 + -4X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4X = 0 + -1 -4X = 0 + -1 Combine like terms: 0 + -1 = -1 -4X = -1 Divide each side by '-4'. X = 0.25 Simplifying X = 0.25Solution
X = {-1.666666667, 0.25}
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