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Simplifying x(x + -35) = 3000 Reorder the terms: x(-35 + x) = 3000 (-35 * x + x * x) = 3000 (-35x + x2) = 3000 Solving -35x + x2 = 3000 Solving for variable 'x'. Reorder the terms: -3000 + -35x + x2 = 3000 + -3000 Combine like terms: 3000 + -3000 = 0 -3000 + -35x + x2 = 0 Factor a trinomial. (-40 + -1x)(75 + -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 '(75 + -1x)' equal to zero and attempt to solve: Simplifying 75 + -1x = 0 Solving 75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 0 + -75 -1x = 0 + -75 Combine like terms: 0 + -75 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75Solution
x = {-40, 75}
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