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Simplifying x2 + -400x + 36864 = 0 Reorder the terms: 36864 + -400x + x2 = 0 Solving 36864 + -400x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (144 + -1x)(256 + -1x) = 0Subproblem 1
Set the factor '(144 + -1x)' equal to zero and attempt to solve: Simplifying 144 + -1x = 0 Solving 144 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + -1x = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -1x = 0 + -144 -1x = 0 + -144 Combine like terms: 0 + -144 = -144 -1x = -144 Divide each side by '-1'. x = 144 Simplifying x = 144Subproblem 2
Set the factor '(256 + -1x)' equal to zero and attempt to solve: Simplifying 256 + -1x = 0 Solving 256 + -1x = 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 + -1x = 0 + -256 Combine like terms: 256 + -256 = 0 0 + -1x = 0 + -256 -1x = 0 + -256 Combine like terms: 0 + -256 = -256 -1x = -256 Divide each side by '-1'. x = 256 Simplifying x = 256Solution
x = {144, 256}
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