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Simplifying 36x2 + -120x + 51 = 0 Reorder the terms: 51 + -120x + 36x2 = 0 Solving 51 + -120x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(17 + -40x + 12x2) = 0 Factor a trinomial. 3((1 + -2x)(17 + -6x)) = 0 Ignore the factor 3.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 '(17 + -6x)' equal to zero and attempt to solve: Simplifying 17 + -6x = 0 Solving 17 + -6x = 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 + -6x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 0 + -17 -6x = 0 + -17 Combine like terms: 0 + -17 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333Solution
x = {0.5, 2.833333333}
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