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Simplifying 0 = 18x2 + 3x + -6 Reorder the terms: 0 = -6 + 3x + 18x2 Solving 0 = -6 + 3x + 18x2 Solving for variable 'x'. Combine like terms: 0 + 6 = 6 6 + -3x + -18x2 = -6 + 3x + 18x2 + 6 + -3x + -18x2 Reorder the terms: 6 + -3x + -18x2 = -6 + 6 + 3x + -3x + 18x2 + -18x2 Combine like terms: -6 + 6 = 0 6 + -3x + -18x2 = 0 + 3x + -3x + 18x2 + -18x2 6 + -3x + -18x2 = 3x + -3x + 18x2 + -18x2 Combine like terms: 3x + -3x = 0 6 + -3x + -18x2 = 0 + 18x2 + -18x2 6 + -3x + -18x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 6 + -3x + -18x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + -1x + -6x2) = 0 Factor a trinomial. 3((1 + -2x)(2 + 3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 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 = {0.5, -0.6666666667}
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