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Simplifying X * X + 40X + -32000 = 0 Multiply X * X X2 + 40X + -32000 = 0 Reorder the terms: -32000 + 40X + X2 = 0 Solving -32000 + 40X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-200 + -1X)(160 + -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 '(160 + -1X)' equal to zero and attempt to solve: Simplifying 160 + -1X = 0 Solving 160 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + -1X = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -1X = 0 + -160 -1X = 0 + -160 Combine like terms: 0 + -160 = -160 -1X = -160 Divide each side by '-1'. X = 160 Simplifying X = 160Solution
X = {-200, 160}
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