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Simplifying 39 = -16x2 + 64x + 0 Reorder the terms: 39 = 0 + 64x + -16x2 Remove the zero: 39 = 64x + -16x2 Solving 39 = 64x + -16x2 Solving for variable 'x'. Reorder the terms: 39 + -64x + 16x2 = 64x + -64x + -16x2 + 16x2 Combine like terms: 64x + -64x = 0 39 + -64x + 16x2 = 0 + -16x2 + 16x2 39 + -64x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 39 + -64x + 16x2 = 0 Factor a trinomial. (3 + -4x)(13 + -4x) = 0Subproblem 1
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 = 0.75Subproblem 2
Set the factor '(13 + -4x)' equal to zero and attempt to solve: Simplifying 13 + -4x = 0 Solving 13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 0 + -13 -4x = 0 + -13 Combine like terms: 0 + -13 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25Solution
x = {0.75, 3.25}
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