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Simplifying 16x2 + 8x + 1 = 16 Reorder the terms: 1 + 8x + 16x2 = 16 Solving 1 + 8x + 16x2 = 16 Solving for variable 'x'. Reorder the terms: 1 + -16 + 8x + 16x2 = 16 + -16 Combine like terms: 1 + -16 = -15 -15 + 8x + 16x2 = 16 + -16 Combine like terms: 16 + -16 = 0 -15 + 8x + 16x2 = 0 Factor a trinomial. (-5 + -4x)(3 + -4x) = 0Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-1.25, 0.75}
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