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Simplifying x2 + 35x + 300 = 500 Reorder the terms: 300 + 35x + x2 = 500 Solving 300 + 35x + x2 = 500 Solving for variable 'x'. Reorder the terms: 300 + -500 + 35x + x2 = 500 + -500 Combine like terms: 300 + -500 = -200 -200 + 35x + x2 = 500 + -500 Combine like terms: 500 + -500 = 0 -200 + 35x + x2 = 0 Factor a trinomial. (-40 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-40, 5}
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