n^2+5n+7=7

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Solution for n^2+5n+7=7 equation: 


Simplifying
n2 + 5n + 7 = 7

Reorder the terms:
7 + 5n + n2 = 7

Add '-7' to each side of the equation.
7 + 5n + -7 + n2 = 7 + -7

Reorder the terms:
7 + -7 + 5n + n2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + 5n + n2 = 7 + -7
5n + n2 = 7 + -7

Combine like terms: 7 + -7 = 0
5n + n2 = 0

Solving
5n + n2 = 0

Solving for variable 'n'.

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


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 '(5 + n)' equal to zero and attempt to solve:

Simplifying
5 + n = 0

Solving
5 + n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + n = 0 + -5

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

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

Simplifying
n = -5
Solution
n = {0, -5}

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