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Simplifying x2 + -80x + -128000 = 0 Reorder the terms: -128000 + -80x + x2 = 0 Solving -128000 + -80x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-320 + -1x)(400 + -1x) = 0Subproblem 1
Set the factor '(-320 + -1x)' equal to zero and attempt to solve: Simplifying -320 + -1x = 0 Solving -320 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '320' to each side of the equation. -320 + 320 + -1x = 0 + 320 Combine like terms: -320 + 320 = 0 0 + -1x = 0 + 320 -1x = 0 + 320 Combine like terms: 0 + 320 = 320 -1x = 320 Divide each side by '-1'. x = -320 Simplifying x = -320Subproblem 2
Set the factor '(400 + -1x)' equal to zero and attempt to solve: Simplifying 400 + -1x = 0 Solving 400 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + -1x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -1x = 0 + -400 -1x = 0 + -400 Combine like terms: 0 + -400 = -400 -1x = -400 Divide each side by '-1'. x = 400 Simplifying x = 400Solution
x = {-320, 400}
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