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Simplifying (n + 4)(n + -11) = 0 Reorder the terms: (4 + n)(n + -11) = 0 Reorder the terms: (4 + n)(-11 + n) = 0 Multiply (4 + n) * (-11 + n) (4(-11 + n) + n(-11 + n)) = 0 ((-11 * 4 + n * 4) + n(-11 + n)) = 0 ((-44 + 4n) + n(-11 + n)) = 0 (-44 + 4n + (-11 * n + n * n)) = 0 (-44 + 4n + (-11n + n2)) = 0 Combine like terms: 4n + -11n = -7n (-44 + -7n + n2) = 0 Solving -44 + -7n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-4 + -1n)(11 + -1n) = 0Subproblem 1
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 = -4Subproblem 2
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 = 11Solution
n = {-4, 11}
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