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Simplifying 81x2 + -1552x + 4096 = 0 Reorder the terms: 4096 + -1552x + 81x2 = 0 Solving 4096 + -1552x + 81x2 = 0 Solving for variable 'x'. Factor a trinomial. (256 + -81x)(16 + -1x) = 0Subproblem 1
Set the factor '(256 + -81x)' equal to zero and attempt to solve: Simplifying 256 + -81x = 0 Solving 256 + -81x = 0 Move all terms containing x to the left, all other terms to the right. Add '-256' to each side of the equation. 256 + -256 + -81x = 0 + -256 Combine like terms: 256 + -256 = 0 0 + -81x = 0 + -256 -81x = 0 + -256 Combine like terms: 0 + -256 = -256 -81x = -256 Divide each side by '-81'. x = 3.160493827 Simplifying x = 3.160493827Subproblem 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 = {3.160493827, 16}
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