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Simplifying 18x2 + -21x + -114 = 0 Reorder the terms: -114 + -21x + 18x2 = 0 Solving -114 + -21x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-38 + -7x + 6x2) = 0 Factor a trinomial. 3((-2 + -1x)(19 + -6x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(19 + -6x)' equal to zero and attempt to solve: Simplifying 19 + -6x = 0 Solving 19 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -6x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = 0 + -19 -6x = 0 + -19 Combine like terms: 0 + -19 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667Solution
x = {-2, 3.166666667}
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