5n*n+40n=5n

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Solution for 5n*n+40n=5n equation: 


Simplifying
5n * n + 40n = 5n

Multiply n * n
5n2 + 40n = 5n

Reorder the terms:
40n + 5n2 = 5n

Solving
40n + 5n2 = 5n

Solving for variable 'n'.

Reorder the terms:
40n + -5n + 5n2 = 5n + -5n

Combine like terms: 40n + -5n = 35n
35n + 5n2 = 5n + -5n

Combine like terms: 5n + -5n = 0
35n + 5n2 = 0

Factor out the Greatest Common Factor (GCF), '5n'.
5n(7 + n) = 0

Ignore the factor 5.

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 = 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 = -7
Solution
n = {0, -7}

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