10u^2-19u^2+6=0

Solution for 10u^2-19u^2+6=0 equation:

Simplifying
10u2 + -19u2 + 6 = 0

Reorder the terms:
6 + 10u2 + -19u2 = 0

Combine like terms: 10u2 + -19u2 = -9u2
6 + -9u2 = 0

Solving
6 + -9u2 = 0

Solving for variable 'u'.

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

Add '-6' to each side of the equation.
6 + -6 + -9u2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -9u2 = 0 + -6
-9u2 = 0 + -6

Combine like terms: 0 + -6 = -6
-9u2 = -6

Divide each side by '-9'.
u2 = 0.6666666667

Simplifying
u2 = 0.6666666667

Take the square root of each side:
u = {-0.816496581, 0.816496581}