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Simplifying 16x2 + -16x + 4 = 9 Reorder the terms: 4 + -16x + 16x2 = 9 Solving 4 + -16x + 16x2 = 9 Solving for variable 'x'. Reorder the terms: 4 + -9 + -16x + 16x2 = 9 + -9 Combine like terms: 4 + -9 = -5 -5 + -16x + 16x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -5 + -16x + 16x2 = 0 Factor a trinomial. (-1 + -4x)(5 + -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 '(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 = 1.25Solution
x = {-0.25, 1.25}
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