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Simplifying 0 = 18x2 + -6x + -4 Reorder the terms: 0 = -4 + -6x + 18x2 Solving 0 = -4 + -6x + 18x2 Solving for variable 'x'. Combine like terms: 0 + 4 = 4 4 + 6x + -18x2 = -4 + -6x + 18x2 + 4 + 6x + -18x2 Reorder the terms: 4 + 6x + -18x2 = -4 + 4 + -6x + 6x + 18x2 + -18x2 Combine like terms: -4 + 4 = 0 4 + 6x + -18x2 = 0 + -6x + 6x + 18x2 + -18x2 4 + 6x + -18x2 = -6x + 6x + 18x2 + -18x2 Combine like terms: -6x + 6x = 0 4 + 6x + -18x2 = 0 + 18x2 + -18x2 4 + 6x + -18x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 4 + 6x + -18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 3x + -9x2) = 0 Factor a trinomial. 2((2 + -3x)(1 + 3x)) = 0 Ignore the factor 2.Subproblem 1
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 = 0.6666666667Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {0.6666666667, -0.3333333333}
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