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Simplifying 78x2 + -40x + -8 = 0 Reorder the terms: -8 + -40x + 78x2 = 0 Solving -8 + -40x + 78x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -20x + 39x2) = 0 Factor a trinomial. 2((-2 + -13x)(2 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -13x)' equal to zero and attempt to solve: Simplifying -2 + -13x = 0 Solving -2 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -13x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -13x = 0 + 2 -13x = 0 + 2 Combine like terms: 0 + 2 = 2 -13x = 2 Divide each side by '-13'. x = -0.1538461538 Simplifying x = -0.1538461538Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-0.1538461538, 0.6666666667}
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