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Simplifying 24X2 + 38X + 8 = 0 Reorder the terms: 8 + 38X + 24X2 = 0 Solving 8 + 38X + 24X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 19X + 12X2) = 0 Factor a trinomial. 2((4 + 3X)(1 + 4X)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.333333333Subproblem 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 = {-1.333333333, -0.25}
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