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Simplifying x2 + 50x + -30000 = 0 Reorder the terms: -30000 + 50x + x2 = 0 Solving -30000 + 50x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-200 + -1x)(150 + -1x) = 0Subproblem 1
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 = -200Subproblem 2
Set the factor '(150 + -1x)' equal to zero and attempt to solve: Simplifying 150 + -1x = 0 Solving 150 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + -1x = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -1x = 0 + -150 -1x = 0 + -150 Combine like terms: 0 + -150 = -150 -1x = -150 Divide each side by '-1'. x = 150 Simplifying x = 150Solution
x = {-200, 150}
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