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Simplifying 9x(x + 2) = -8 Reorder the terms: 9x(2 + x) = -8 (2 * 9x + x * 9x) = -8 (18x + 9x2) = -8 Solving 18x + 9x2 = -8 Solving for variable 'x'. Reorder the terms: 8 + 18x + 9x2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 18x + 9x2 = 0 Factor a trinomial. (4 + 3x)(2 + 3x) = 0Subproblem 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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