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Simplifying -1x2 + 60x + -500 = 300 Reorder the terms: -500 + 60x + -1x2 = 300 Solving -500 + 60x + -1x2 = 300 Solving for variable 'x'. Reorder the terms: -500 + -300 + 60x + -1x2 = 300 + -300 Combine like terms: -500 + -300 = -800 -800 + 60x + -1x2 = 300 + -300 Combine like terms: 300 + -300 = 0 -800 + 60x + -1x2 = 0 Factor a trinomial. (-40 + x)(20 + -1x) = 0Subproblem 1
Set the factor '(-40 + x)' equal to zero and attempt to solve: Simplifying -40 + x = 0 Solving -40 + x = 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 + x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + x = 0 + 40 x = 0 + 40 Combine like terms: 0 + 40 = 40 x = 40 Simplifying x = 40Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {40, 20}
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