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Simplifying 12n3 + -9n2 = 0 Reorder the terms: -9n2 + 12n3 = 0 Solving -9n2 + 12n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n2'. 3n2(-3 + 4n) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}Subproblem 2
Set the factor '(-3 + 4n)' equal to zero and attempt to solve: Simplifying -3 + 4n = 0 Solving -3 + 4n = 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 + 4n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4n = 0 + 3 4n = 0 + 3 Combine like terms: 0 + 3 = 3 4n = 3 Divide each side by '4'. n = 0.75 Simplifying n = 0.75Solution
n = {0, 0.75}
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