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Simplifying x2 + -225x + 5000 = 0 Reorder the terms: 5000 + -225x + x2 = 0 Solving 5000 + -225x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + -1x)(200 + -1x) = 0Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Subproblem 2
Set the factor '(200 + -1x)' equal to zero and attempt to solve: Simplifying 200 + -1x = 0 Solving 200 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -1x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -1x = 0 + -200 -1x = 0 + -200 Combine like terms: 0 + -200 = -200 -1x = -200 Divide each side by '-1'. x = 200 Simplifying x = 200Solution
x = {25, 200}
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