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Simplifying [180(n + -2)] * n = 0 Reorder the terms: [180(-2 + n)] * n = 0 [(-2 * 180 + n * 180)] * n = 0 [(-360 + 180n)] * n = 0 Reorder the terms for easier multiplication: n[-360 + 180n] = 0 [-360 * n + 180n * n] = 0 [-360n + 180n2] = 0 Solving -360n + 180n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '180n'. 180n(-2 + n) = 0 Ignore the factor 180.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 '(-2 + n)' equal to zero and attempt to solve: Simplifying -2 + n = 0 Solving -2 + n = 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 + n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + n = 0 + 2 n = 0 + 2 Combine like terms: 0 + 2 = 2 n = 2 Simplifying n = 2Solution
n = {0, 2}
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