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Simplifying 16x2 + -16 + -1 = x Reorder the terms: -16 + -1 + 16x2 = x Combine like terms: -16 + -1 = -17 -17 + 16x2 = x Solving -17 + 16x2 = x Solving for variable 'x'. Reorder the terms: -17 + -1x + 16x2 = x + -1x Combine like terms: x + -1x = 0 -17 + -1x + 16x2 = 0 Factor a trinomial. (-1 + -1x)(17 + -16x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(17 + -16x)' equal to zero and attempt to solve: Simplifying 17 + -16x = 0 Solving 17 + -16x = 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 + -16x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -16x = 0 + -17 -16x = 0 + -17 Combine like terms: 0 + -17 = -17 -16x = -17 Divide each side by '-16'. x = 1.0625 Simplifying x = 1.0625Solution
x = {-1, 1.0625}
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