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Simplifying 4n2(7n2 + 4n + -20n) = 0 Reorder the terms: 4n2(4n + -20n + 7n2) = 0 Combine like terms: 4n + -20n = -16n 4n2(-16n + 7n2) = 0 (-16n * 4n2 + 7n2 * 4n2) = 0 (-64n3 + 28n4) = 0 Solving -64n3 + 28n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '4n3'. 4n3(-16 + 7n) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'n3' equal to zero and attempt to solve: Simplifying n3 = 0 Solving n3 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-16 + 7n)' equal to zero and attempt to solve: Simplifying -16 + 7n = 0 Solving -16 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7n = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7n = 0 + 16 7n = 0 + 16 Combine like terms: 0 + 16 = 16 7n = 16 Divide each side by '7'. n = 2.285714286 Simplifying n = 2.285714286Solution
n = {2.285714286}
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