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Simplifying -78x2 + 38x + 88 = 0 Reorder the terms: 88 + 38x + -78x2 = 0 Solving 88 + 38x + -78x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(44 + 19x + -39x2) = 0 Factor a trinomial. 2((4 + -3x)(11 + 13x)) = 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 '(11 + 13x)' equal to zero and attempt to solve: Simplifying 11 + 13x = 0 Solving 11 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 13x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 13x = 0 + -11 13x = 0 + -11 Combine like terms: 0 + -11 = -11 13x = -11 Divide each side by '13'. x = -0.8461538462 Simplifying x = -0.8461538462Solution
x = {1.333333333, -0.8461538462}
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