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Simplifying 68x2 + -26x + -30 = 0 Reorder the terms: -30 + -26x + 68x2 = 0 Solving -30 + -26x + 68x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + -13x + 34x2) = 0 Factor a trinomial. 2((-1 + -2x)(15 + -17x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(15 + -17x)' equal to zero and attempt to solve: Simplifying 15 + -17x = 0 Solving 15 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -17x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -17x = 0 + -15 -17x = 0 + -15 Combine like terms: 0 + -15 = -15 -17x = -15 Divide each side by '-17'. x = 0.8823529412 Simplifying x = 0.8823529412Solution
x = {-0.5, 0.8823529412}
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