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Simplifying 3n2(6n + 5) = 0 Reorder the terms: 3n2(5 + 6n) = 0 (5 * 3n2 + 6n * 3n2) = 0 (15n2 + 18n3) = 0 Solving 15n2 + 18n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n2'. 3n2(5 + 6n) = 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 '(5 + 6n)' equal to zero and attempt to solve: Simplifying 5 + 6n = 0 Solving 5 + 6n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6n = 0 + -5 6n = 0 + -5 Combine like terms: 0 + -5 = -5 6n = -5 Divide each side by '6'. n = -0.8333333333 Simplifying n = -0.8333333333Solution
n = {0, -0.8333333333}
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