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Simplifying 3240n = (n + -2) * 180n Reorder the terms: 3240n = (-2 + n) * 180n Reorder the terms for easier multiplication: 3240n = 180n(-2 + n) 3240n = (-2 * 180n + n * 180n) 3240n = (-360n + 180n2) Solving 3240n = -360n + 180n2 Solving for variable 'n'. Combine like terms: 3240n + 360n = 3600n 3600n + -180n2 = -360n + 180n2 + 360n + -180n2 Reorder the terms: 3600n + -180n2 = -360n + 360n + 180n2 + -180n2 Combine like terms: -360n + 360n = 0 3600n + -180n2 = 0 + 180n2 + -180n2 3600n + -180n2 = 180n2 + -180n2 Combine like terms: 180n2 + -180n2 = 0 3600n + -180n2 = 0 Factor out the Greatest Common Factor (GCF), '180n'. 180n(20 + -1n) = 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 '(20 + -1n)' equal to zero and attempt to solve: Simplifying 20 + -1n = 0 Solving 20 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1n = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1n = 0 + -20 -1n = 0 + -20 Combine like terms: 0 + -20 = -20 -1n = -20 Divide each side by '-1'. n = 20 Simplifying n = 20Solution
n = {0, 20}
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