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Simplifying n2 + n = 600 Reorder the terms: n + n2 = 600 Solving n + n2 = 600 Solving for variable 'n'. Reorder the terms: -600 + n + n2 = 600 + -600 Combine like terms: 600 + -600 = 0 -600 + n + n2 = 0 Factor a trinomial. (-25 + -1n)(24 + -1n) = 0Subproblem 1
Set the factor '(-25 + -1n)' equal to zero and attempt to solve: Simplifying -25 + -1n = 0 Solving -25 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1n = 0 + 25 -1n = 0 + 25 Combine like terms: 0 + 25 = 25 -1n = 25 Divide each side by '-1'. n = -25 Simplifying n = -25Subproblem 2
Set the factor '(24 + -1n)' equal to zero and attempt to solve: Simplifying 24 + -1n = 0 Solving 24 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 0 + -24 -1n = 0 + -24 Combine like terms: 0 + -24 = -24 -1n = -24 Divide each side by '-1'. n = 24 Simplifying n = 24Solution
n = {-25, 24}
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