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Simplifying 2n3 + -30n3 + 100n = 0 Reorder the terms: 100n + 2n3 + -30n3 = 0 Combine like terms: 2n3 + -30n3 = -28n3 100n + -28n3 = 0 Solving 100n + -28n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n'. 4n(25 + -7n2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(25 + -7n2)' equal to zero and attempt to solve: Simplifying 25 + -7n2 = 0 Solving 25 + -7n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -7n2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -7n2 = 0 + -25 -7n2 = 0 + -25 Combine like terms: 0 + -25 = -25 -7n2 = -25 Divide each side by '-7'. n2 = 3.571428571 Simplifying n2 = 3.571428571 Take the square root of each side: n = {-1.889822365, 1.889822365}Solution
n = {0, -1.889822365, 1.889822365}
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