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Simplifying -4(n) = n2 + -1n Reorder the terms: -4n = -1n + n2 Solving -4n = -1n + n2 Solving for variable 'n'. Combine like terms: -4n + n = -3n -3n + -1n2 = -1n + n2 + n + -1n2 Reorder the terms: -3n + -1n2 = -1n + n + n2 + -1n2 Combine like terms: -1n + n = 0 -3n + -1n2 = 0 + n2 + -1n2 -3n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -3n + -1n2 = 0 Factor out the Greatest Common Factor (GCF), '-1n'. -1n(3 + n) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Solution
n = {0, -3}
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