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Simplifying 2n3 + -14n2 = 0 Reorder the terms: -14n2 + 2n3 = 0 Solving -14n2 + 2n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n2'. 2n2(-7 + n) = 0 Ignore the factor 2.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 '(-7 + n)' equal to zero and attempt to solve: Simplifying -7 + n = 0 Solving -7 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + n = 0 + 7 n = 0 + 7 Combine like terms: 0 + 7 = 7 n = 7 Simplifying n = 7Solution
n = {0, 7}
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