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Simplifying 24x2 + -14x = -2 Reorder the terms: -14x + 24x2 = -2 Solving -14x + 24x2 = -2 Solving for variable 'x'. Reorder the terms: 2 + -14x + 24x2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -14x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -7x + 12x2) = 0 Factor a trinomial. 2((1 + -4x)(1 + -3x)) = 0 Ignore the factor 2.Subproblem 1
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 = 0.25Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0.25, 0.3333333333}
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