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Simplifying 18x2 + 36x = -16 Reorder the terms: 36x + 18x2 = -16 Solving 36x + 18x2 = -16 Solving for variable 'x'. Reorder the terms: 16 + 36x + 18x2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 36x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 18x + 9x2) = 0 Factor a trinomial. 2((4 + 3x)(2 + 3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, -0.6666666667}
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