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Simplifying (15n3) + -1(20n2) = 0 Remove parenthesis around (20n2) (15n3) + -1 * 20n2 = 0 Multiply -1 * 20 (15n3) + -20n2 = 0 Reorder the terms: -20n2 + (15n3) = 0 Solving -20n2 + (15n3) = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n2'. 5n2(-4 + (3n)) = 0 Ignore the factor 5.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 '(-4 + (3n))' equal to zero and attempt to solve: Simplifying -4 + (3n) = 0 Solving -4 + (3n) = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + (3n) = 0 + 4 Combine like terms: -4 + 4 = 0 0 + (3n) = 0 + 4 (3n) = 0 + 4 Combine like terms: 0 + 4 = 4 (3n) = 4 Divide each side by '3'. n = 1.333333333 Simplifying n = 1.333333333Solution
n = {0, 1.333333333}
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