u^2-10u^2+9=0

Solution for u^2-10u^2+9=0 equation:

Simplifying
u2 + -10u2 + 9 = 0

Reorder the terms:
9 + u2 + -10u2 = 0

Combine like terms: u2 + -10u2 = -9u2
9 + -9u2 = 0

Solving
9 + -9u2 = 0

Solving for variable 'u'.

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

Add '-9' to each side of the equation.
9 + -9 + -9u2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -9u2 = 0 + -9
-9u2 = 0 + -9

Combine like terms: 0 + -9 = -9
-9u2 = -9

Divide each side by '-9'.
u2 = 1

Simplifying
u2 = 1

Take the square root of each side:
u = {-1, 1}