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Simplifying 18x = 16x2 + -9 Reorder the terms: 18x = -9 + 16x2 Solving 18x = -9 + 16x2 Solving for variable 'x'. Reorder the terms: 9 + 18x + -16x2 = -9 + 16x2 + 9 + -16x2 Reorder the terms: 9 + 18x + -16x2 = -9 + 9 + 16x2 + -16x2 Combine like terms: -9 + 9 = 0 9 + 18x + -16x2 = 0 + 16x2 + -16x2 9 + 18x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 9 + 18x + -16x2 = 0 Factor a trinomial. (3 + -2x)(3 + 8x) = 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 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 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 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {1.5, -0.375}
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