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Simplifying n2 + n = 210 Reorder the terms: n + n2 = 210 Solving n + n2 = 210 Solving for variable 'n'. Reorder the terms: -210 + n + n2 = 210 + -210 Combine like terms: 210 + -210 = 0 -210 + n + n2 = 0 Factor a trinomial. (-15 + -1n)(14 + -1n) = 0Subproblem 1
Set the factor '(-15 + -1n)' equal to zero and attempt to solve: Simplifying -15 + -1n = 0 Solving -15 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1n = 0 + 15 -1n = 0 + 15 Combine like terms: 0 + 15 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15Subproblem 2
Set the factor '(14 + -1n)' equal to zero and attempt to solve: Simplifying 14 + -1n = 0 Solving 14 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 0 + -14 -1n = 0 + -14 Combine like terms: 0 + -14 = -14 -1n = -14 Divide each side by '-1'. n = 14 Simplifying n = 14Solution
n = {-15, 14}
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