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Simplifying x2 + 5x = 3900 Reorder the terms: 5x + x2 = 3900 Solving 5x + x2 = 3900 Solving for variable 'x'. Reorder the terms: -3900 + 5x + x2 = 3900 + -3900 Combine like terms: 3900 + -3900 = 0 -3900 + 5x + x2 = 0 Factor a trinomial. (-65 + -1x)(60 + -1x) = 0Subproblem 1
Set the factor '(-65 + -1x)' equal to zero and attempt to solve: Simplifying -65 + -1x = 0 Solving -65 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -1x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -1x = 0 + 65 -1x = 0 + 65 Combine like terms: 0 + 65 = 65 -1x = 65 Divide each side by '-1'. x = -65 Simplifying x = -65Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {-65, 60}
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