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