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Simplifying 2n2 = 3n Solving 2n2 = 3n Solving for variable 'n'. Reorder the terms: -3n + 2n2 = 3n + -3n Combine like terms: 3n + -3n = 0 -3n + 2n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-3 + 2n) = 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 '(-3 + 2n)' equal to zero and attempt to solve: Simplifying -3 + 2n = 0 Solving -3 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 0 + 3 2n = 0 + 3 Combine like terms: 0 + 3 = 3 2n = 3 Divide each side by '2'. n = 1.5 Simplifying n = 1.5Solution
n = {0, 1.5}
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