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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. (4 + -1x)(1 + 16x) = 0Subproblem 1
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 = 4Subproblem 2
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 = -0.0625Solution
x = {4, -0.0625}
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