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Simplifying 0 = -16x2 + 63x + 4 Reorder the terms: 0 = 4 + 63x + -16x2 Solving 0 = 4 + 63x + -16x2 Solving for variable 'x'. Combine like terms: 0 + -4 = -4 -4 + -63x + 16x2 = 4 + 63x + -16x2 + -4 + -63x + 16x2 Reorder the terms: -4 + -63x + 16x2 = 4 + -4 + 63x + -63x + -16x2 + 16x2 Combine like terms: 4 + -4 = 0 -4 + -63x + 16x2 = 0 + 63x + -63x + -16x2 + 16x2 -4 + -63x + 16x2 = 63x + -63x + -16x2 + 16x2 Combine like terms: 63x + -63x = 0 -4 + -63x + 16x2 = 0 + -16x2 + 16x2 -4 + -63x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -4 + -63x + 16x2 = 0 Factor a trinomial. (-1 + -16x)(4 + -1x) = 0Subproblem 1
Set the factor '(-1 + -16x)' equal to zero and attempt to solve: Simplifying -1 + -16x = 0 Solving -1 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -16x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -16x = 0 + 1 -16x = 0 + 1 Combine like terms: 0 + 1 = 1 -16x = 1 Divide each side by '-16'. x = -0.0625 Simplifying x = -0.0625Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-0.0625, 4}
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