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Simplifying 64x2 + -84x + 27 = 0 Reorder the terms: 27 + -84x + 64x2 = 0 Solving 27 + -84x + 64x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -16x)(3 + -4x) = 0Subproblem 1
Set the factor '(9 + -16x)' equal to zero and attempt to solve: Simplifying 9 + -16x = 0 Solving 9 + -16x = 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 + -16x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16x = 0 + -9 -16x = 0 + -9 Combine like terms: 0 + -9 = -9 -16x = -9 Divide each side by '-16'. x = 0.5625 Simplifying x = 0.5625Subproblem 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 = {0.5625, 0.75}
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