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Simplifying 9x2 + -580x + 256 = 0 Reorder the terms: 256 + -580x + 9x2 = 0 Solving 256 + -580x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -9x)(64 + -1x) = 0Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Subproblem 2
Set the factor '(64 + -1x)' equal to zero and attempt to solve: Simplifying 64 + -1x = 0 Solving 64 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -1x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1x = 0 + -64 -1x = 0 + -64 Combine like terms: 0 + -64 = -64 -1x = -64 Divide each side by '-1'. x = 64 Simplifying x = 64Solution
x = {0.4444444444, 64}
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