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Simplifying 4n3 + -9n2 = 0 Reorder the terms: -9n2 + 4n3 = 0 Solving -9n2 + 4n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n2'. n2(-9 + 4n) = 0Subproblem 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 '(-9 + 4n)' equal to zero and attempt to solve: Simplifying -9 + 4n = 0 Solving -9 + 4n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4n = 0 + 9 4n = 0 + 9 Combine like terms: 0 + 9 = 9 4n = 9 Divide each side by '4'. n = 2.25 Simplifying n = 2.25Solution
n = {0, 2.25}
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