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Simplifying 18x2 + 24x = -8 Reorder the terms: 24x + 18x2 = -8 Solving 24x + 18x2 = -8 Solving for variable 'x'. Reorder the terms: 8 + 24x + 18x2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 24x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 12x + 9x2) = 0 Factor a trinomial. 2((2 + 3x)(2 + 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 '(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 = {-0.6666666667, -0.6666666667}
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