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Simplifying 4x2 + 16x + 16 = 81x Reorder the terms: 16 + 16x + 4x2 = 81x Solving 16 + 16x + 4x2 = 81x Solving for variable 'x'. Reorder the terms: 16 + 16x + -81x + 4x2 = 81x + -81x Combine like terms: 16x + -81x = -65x 16 + -65x + 4x2 = 81x + -81x Combine like terms: 81x + -81x = 0 16 + -65x + 4x2 = 0 Factor a trinomial. (1 + -4x)(16 + -1x) = 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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {0.25, 16}
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