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Simplifying 8x2 + -66x + 81 = 0 Reorder the terms: 81 + -66x + 8x2 = 0 Solving 81 + -66x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(27 + -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 '(27 + -4x)' equal to zero and attempt to solve: Simplifying 27 + -4x = 0 Solving 27 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -4x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 0 + -27 -4x = 0 + -27 Combine like terms: 0 + -27 = -27 -4x = -27 Divide each side by '-4'. x = 6.75 Simplifying x = 6.75Solution
x = {1.5, 6.75}
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