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Simplifying 8036x + x2 = 518400 Solving 8036x + x2 = 518400 Solving for variable 'x'. Reorder the terms: -518400 + 8036x + x2 = 518400 + -518400 Combine like terms: 518400 + -518400 = 0 -518400 + 8036x + x2 = 0 Factor a trinomial. (-8100 + -1x)(64 + -1x) = 0Subproblem 1
Set the factor '(-8100 + -1x)' equal to zero and attempt to solve: Simplifying -8100 + -1x = 0 Solving -8100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8100' to each side of the equation. -8100 + 8100 + -1x = 0 + 8100 Combine like terms: -8100 + 8100 = 0 0 + -1x = 0 + 8100 -1x = 0 + 8100 Combine like terms: 0 + 8100 = 8100 -1x = 8100 Divide each side by '-1'. x = -8100 Simplifying x = -8100Subproblem 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 = {-8100, 64}
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