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Simplifying -8X + 16X2 = -1 Solving -8X + 16X2 = -1 Solving for variable 'X'. Reorder the terms: 1 + -8X + 16X2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -8X + 16X2 = 0 Factor a trinomial. (1 + -4X)(1 + -4X) = 0Subproblem 1
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 = 0.25Subproblem 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 = {0.25, 0.25}
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