5n^2+n+4=6n^2+n-5

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Solution for 5n^2+n+4=6n^2+n-5 equation: 


Simplifying
5n2 + n + 4 = 6n2 + n + -5

Reorder the terms:
4 + n + 5n2 = 6n2 + n + -5

Reorder the terms:
4 + n + 5n2 = -5 + n + 6n2

Add '-1n' to each side of the equation.
4 + n + -1n + 5n2 = -5 + n + -1n + 6n2

Combine like terms: n + -1n = 0
4 + 0 + 5n2 = -5 + n + -1n + 6n2
4 + 5n2 = -5 + n + -1n + 6n2

Combine like terms: n + -1n = 0
4 + 5n2 = -5 + 0 + 6n2
4 + 5n2 = -5 + 6n2

Solving
4 + 5n2 = -5 + 6n2

Solving for variable 'n'.

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

Add '-6n2' to each side of the equation.
4 + 5n2 + -6n2 = -5 + 6n2 + -6n2

Combine like terms: 5n2 + -6n2 = -1n2
4 + -1n2 = -5 + 6n2 + -6n2

Combine like terms: 6n2 + -6n2 = 0
4 + -1n2 = -5 + 0
4 + -1n2 = -5

Add '-4' to each side of the equation.
4 + -4 + -1n2 = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -1n2 = -5 + -4
-1n2 = -5 + -4

Combine like terms: -5 + -4 = -9
-1n2 = -9

Divide each side by '-1'.
n2 = 9

Simplifying
n2 = 9

Take the square root of each side:
n = {-3, 3}

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