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Simplifying n * n + 12n = 28 Multiply n * n n2 + 12n = 28 Reorder the terms: 12n + n2 = 28 Solving 12n + n2 = 28 Solving for variable 'n'. Reorder the terms: -28 + 12n + n2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 12n + n2 = 0 Factor a trinomial. (-14 + -1n)(2 + -1n) = 0Subproblem 1
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 = -14Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2Solution
n = {-14, 2}
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