5n^2-9n=-9n-6+n^2

Solution for 5n^2-9n=-9n-6+n^2 equation:

Simplifying
5n2 + -9n = -9n + -6 + n2

Reorder the terms:
-9n + 5n2 = -9n + -6 + n2

Reorder the terms:
-9n + 5n2 = -6 + -9n + n2

Add '9n' to each side of the equation.
-9n + 9n + 5n2 = -6 + -9n + 9n + n2

Combine like terms: -9n + 9n = 0
0 + 5n2 = -6 + -9n + 9n + n2
5n2 = -6 + -9n + 9n + n2

Combine like terms: -9n + 9n = 0
5n2 = -6 + 0 + n2
5n2 = -6 + n2

Solving
5n2 = -6 + n2

Solving for variable 'n'.

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

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

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

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

Divide each side by '4'.
n2 = -1.5

Simplifying
n2 = -1.5

Reorder the terms:
1.5 + n2 = -1.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
1.5 + n2 = 0.0

The solution to this equation could not be determined.