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Simplifying 8x2 = -18x + -9 Reorder the terms: 8x2 = -9 + -18x Solving 8x2 = -9 + -18x Solving for variable 'x'. Reorder the terms: 9 + 18x + 8x2 = -9 + -18x + 9 + 18x Reorder the terms: 9 + 18x + 8x2 = -9 + 9 + -18x + 18x Combine like terms: -9 + 9 = 0 9 + 18x + 8x2 = 0 + -18x + 18x 9 + 18x + 8x2 = -18x + 18x Combine like terms: -18x + 18x = 0 9 + 18x + 8x2 = 0 Factor a trinomial. (3 + 2x)(3 + 4x) = 0Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-1.5, -0.75}
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