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Simplifying n2 = -7n + 44 Reorder the terms: n2 = 44 + -7n Solving n2 = 44 + -7n Solving for variable 'n'. Reorder the terms: -44 + 7n + n2 = 44 + -7n + -44 + 7n Reorder the terms: -44 + 7n + n2 = 44 + -44 + -7n + 7n Combine like terms: 44 + -44 = 0 -44 + 7n + n2 = 0 + -7n + 7n -44 + 7n + n2 = -7n + 7n Combine like terms: -7n + 7n = 0 -44 + 7n + n2 = 0 Factor a trinomial. (-11 + -1n)(4 + -1n) = 0Subproblem 1
Set the factor '(-11 + -1n)' equal to zero and attempt to solve: Simplifying -11 + -1n = 0 Solving -11 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1n = 0 + 11 -1n = 0 + 11 Combine like terms: 0 + 11 = 11 -1n = 11 Divide each side by '-1'. n = -11 Simplifying n = -11Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4Solution
n = {-11, 4}
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