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Simplifying (x + -40) * x = 3200 Reorder the terms: (-40 + x) * x = 3200 Reorder the terms for easier multiplication: x(-40 + x) = 3200 (-40 * x + x * x) = 3200 (-40x + x2) = 3200 Solving -40x + x2 = 3200 Solving for variable 'x'. Reorder the terms: -3200 + -40x + x2 = 3200 + -3200 Combine like terms: 3200 + -3200 = 0 -3200 + -40x + x2 = 0 Factor a trinomial. (-40 + -1x)(80 + -1x) = 0Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve: Simplifying -40 + -1x = 0 Solving -40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 0 + 40 -1x = 0 + 40 Combine like terms: 0 + 40 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80Solution
x = {-40, 80}
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