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Simplifying 300 = 13n + n2 Solving 300 = 13n + n2 Solving for variable 'n'. Reorder the terms: 300 + -13n + -1n2 = 13n + -13n + n2 + -1n2 Combine like terms: 13n + -13n = 0 300 + -13n + -1n2 = 0 + n2 + -1n2 300 + -13n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 300 + -13n + -1n2 = 0 Factor a trinomial. (12 + -1n)(25 + n) = 0Subproblem 1
Set the factor '(12 + -1n)' equal to zero and attempt to solve: Simplifying 12 + -1n = 0 Solving 12 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 0 + -12 -1n = 0 + -12 Combine like terms: 0 + -12 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12Subproblem 2
Set the factor '(25 + n)' equal to zero and attempt to solve: Simplifying 25 + n = 0 Solving 25 + n = 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 + n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + n = 0 + -25 n = 0 + -25 Combine like terms: 0 + -25 = -25 n = -25 Simplifying n = -25Solution
n = {12, -25}
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