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Simplifying t(n) = 3n2 Multiply t * n nt = 3n2 Solving nt = 3n2 Solving for variable 'n'. Combine like terms: 3n2 + -3n2 = 0 nt + -3n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(t + -3n) = 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 '(t + -3n)' equal to zero and attempt to solve: Simplifying t + -3n = 0 Reorder the terms: -3n + t = 0 Solving -3n + t = 0 Move all terms containing n to the left, all other terms to the right. Add '-1t' to each side of the equation. -3n + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 -3n + 0 = 0 + -1t -3n = 0 + -1t Remove the zero: -3n = -1t Divide each side by '-3'. n = 0.3333333333t Simplifying n = 0.3333333333tSolution
n = {0, 0.3333333333t}
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