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Simplifying 18x2 + 39x + -7 = (6x + -1) Reorder the terms: -7 + 39x + 18x2 = (6x + -1) Reorder the terms: -7 + 39x + 18x2 = (-1 + 6x) Remove parenthesis around (-1 + 6x) -7 + 39x + 18x2 = -1 + 6x Solving -7 + 39x + 18x2 = -1 + 6x Solving for variable 'x'. Reorder the terms: -7 + 1 + 39x + -6x + 18x2 = -1 + 6x + 1 + -6x Combine like terms: -7 + 1 = -6 -6 + 39x + -6x + 18x2 = -1 + 6x + 1 + -6x Combine like terms: 39x + -6x = 33x -6 + 33x + 18x2 = -1 + 6x + 1 + -6x Reorder the terms: -6 + 33x + 18x2 = -1 + 1 + 6x + -6x Combine like terms: -1 + 1 = 0 -6 + 33x + 18x2 = 0 + 6x + -6x -6 + 33x + 18x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 33x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + 11x + 6x2) = 0 Factor a trinomial. 3((-2 + -1x)(1 + -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 '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {-2, 0.1666666667}
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