5(4n-4)n=-60

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Solution for 5(4n-4)n=-60 equation:


Simplifying
5(4n + -4) * n = -60

Reorder the terms:
5(-4 + 4n) * n = -60

Reorder the terms for easier multiplication:
5n(-4 + 4n) = -60
(-4 * 5n + 4n * 5n) = -60
(-20n + 20n2) = -60

Solving
-20n + 20n2 = -60

Solving for variable 'n'.

Reorder the terms:
60 + -20n + 20n2 = -60 + 60

Combine like terms: -60 + 60 = 0
60 + -20n + 20n2 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(3 + -1n + n2) = 0

Ignore the factor 20.

Subproblem 1

Set the factor '(3 + -1n + n2)' equal to zero and attempt to solve: Simplifying 3 + -1n + n2 = 0 Solving 3 + -1n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1n + -3 + n2 = 0 + -3 Reorder the terms: 3 + -3 + -1n + n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n + n2 = 0 + -3 -1n + n2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1n + n2 = -3 The n term is -1n. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1n + 0.25 + n2 = -3 + 0.25 Reorder the terms: 0.25 + -1n + n2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + -1n + n2 = -2.75 Factor a perfect square on the left side: (n + -0.5)(n + -0.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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