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Simplifying 500x + x2 = 60000 Solving 500x + x2 = 60000 Solving for variable 'x'. Reorder the terms: -60000 + 500x + x2 = 60000 + -60000 Combine like terms: 60000 + -60000 = 0 -60000 + 500x + x2 = 0 Factor a trinomial. (-600 + -1x)(100 + -1x) = 0Subproblem 1
Set the factor '(-600 + -1x)' equal to zero and attempt to solve: Simplifying -600 + -1x = 0 Solving -600 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '600' to each side of the equation. -600 + 600 + -1x = 0 + 600 Combine like terms: -600 + 600 = 0 0 + -1x = 0 + 600 -1x = 0 + 600 Combine like terms: 0 + 600 = 600 -1x = 600 Divide each side by '-1'. x = -600 Simplifying x = -600Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100Solution
x = {-600, 100}
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