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Simplifying 99x2 + -3x + -42 = 0 Reorder the terms: -42 + -3x + 99x2 = 0 Solving -42 + -3x + 99x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-14 + -1x + 33x2) = 0 Factor a trinomial. 3((-7 + -11x)(2 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -11x)' equal to zero and attempt to solve: Simplifying -7 + -11x = 0 Solving -7 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -11x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -11x = 0 + 7 -11x = 0 + 7 Combine like terms: 0 + 7 = 7 -11x = 7 Divide each side by '-11'. x = -0.6363636364 Simplifying x = -0.6363636364Subproblem 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 = {-0.6363636364, 0.6666666667}
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