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Simplifying 24X2 = 50X + -24 Reorder the terms: 24X2 = -24 + 50X Solving 24X2 = -24 + 50X Solving for variable 'X'. Reorder the terms: 24 + -50X + 24X2 = -24 + 50X + 24 + -50X Reorder the terms: 24 + -50X + 24X2 = -24 + 24 + 50X + -50X Combine like terms: -24 + 24 = 0 24 + -50X + 24X2 = 0 + 50X + -50X 24 + -50X + 24X2 = 50X + -50X Combine like terms: 50X + -50X = 0 24 + -50X + 24X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -25X + 12X2) = 0 Factor a trinomial. 2((3 + -4X)(4 + -3X)) = 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 '(4 + -3X)' equal to zero and attempt to solve: Simplifying 4 + -3X = 0 Solving 4 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3X = 0 + -4 -3X = 0 + -4 Combine like terms: 0 + -4 = -4 -3X = -4 Divide each side by '-3'. X = 1.333333333 Simplifying X = 1.333333333Solution
X = {0.75, 1.333333333}
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