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Simplifying 0 = 16x2 + -64x + 63 Reorder the terms: 0 = 63 + -64x + 16x2 Solving 0 = 63 + -64x + 16x2 Solving for variable 'x'. Combine like terms: 0 + -63 = -63 -63 + 64x + -16x2 = 63 + -64x + 16x2 + -63 + 64x + -16x2 Reorder the terms: -63 + 64x + -16x2 = 63 + -63 + -64x + 64x + 16x2 + -16x2 Combine like terms: 63 + -63 = 0 -63 + 64x + -16x2 = 0 + -64x + 64x + 16x2 + -16x2 -63 + 64x + -16x2 = -64x + 64x + 16x2 + -16x2 Combine like terms: -64x + 64x = 0 -63 + 64x + -16x2 = 0 + 16x2 + -16x2 -63 + 64x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -63 + 64x + -16x2 = 0 Factor a trinomial. (-9 + 4x)(7 + -4x) = 0Subproblem 1
Set the factor '(-9 + 4x)' equal to zero and attempt to solve: Simplifying -9 + 4x = 0 Solving -9 + 4x = 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 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {2.25, 1.75}
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