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Simplifying x(8x + 33) + 27 = 0 Reorder the terms: x(33 + 8x) + 27 = 0 (33 * x + 8x * x) + 27 = 0 (33x + 8x2) + 27 = 0 Reorder the terms: 27 + 33x + 8x2 = 0 Solving 27 + 33x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(9 + 8x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Solution
x = {-3, -1.125}
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