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Simplifying 16x2 + 64x + -17 = 0 Reorder the terms: -17 + 64x + 16x2 = 0 Solving -17 + 64x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -4x)(1 + -4x) = 0Subproblem 1
Set the factor '(-17 + -4x)' equal to zero and attempt to solve: Simplifying -17 + -4x = 0 Solving -17 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -4x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = 0 + 17 -4x = 0 + 17 Combine like terms: 0 + 17 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-4.25, 0.25}
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