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Simplifying Un = 3n2 + -2n Reorder the terms: nU = -2n + 3n2 Solving nU = -2n + 3n2 Solving for variable 'n'. Reorder the terms: 2n + nU + -3n2 = -2n + 3n2 + 2n + -3n2 Reorder the terms: 2n + nU + -3n2 = -2n + 2n + 3n2 + -3n2 Combine like terms: -2n + 2n = 0 2n + nU + -3n2 = 0 + 3n2 + -3n2 2n + nU + -3n2 = 3n2 + -3n2 Combine like terms: 3n2 + -3n2 = 0 2n + nU + -3n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(2 + U + -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 '(2 + U + -3n)' equal to zero and attempt to solve: Simplifying 2 + U + -3n = 0 Solving 2 + U + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + U + -2 + -3n = 0 + -2 Reorder the terms: 2 + -2 + U + -3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + U + -3n = 0 + -2 U + -3n = 0 + -2 Combine like terms: 0 + -2 = -2 U + -3n = -2 Add '-1U' to each side of the equation. U + -1U + -3n = -2 + -1U Combine like terms: U + -1U = 0 0 + -3n = -2 + -1U -3n = -2 + -1U Divide each side by '-3'. n = 0.6666666667 + 0.3333333333U Simplifying n = 0.6666666667 + 0.3333333333USolution
n = {0, 0.6666666667 + 0.3333333333U}
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