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Simplifying 24x2 + -58x + 34 = 0 Reorder the terms: 34 + -58x + 24x2 = 0 Solving 34 + -58x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(17 + -29x + 12x2) = 0 Factor a trinomial. 2((1 + -1x)(17 + -12x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(17 + -12x)' equal to zero and attempt to solve: Simplifying 17 + -12x = 0 Solving 17 + -12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -12x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -12x = 0 + -17 -12x = 0 + -17 Combine like terms: 0 + -17 = -17 -12x = -17 Divide each side by '-12'. x = 1.416666667 Simplifying x = 1.416666667Solution
x = {1, 1.416666667}
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