10=U^2+0.5U^2

Solution for 10=U^2+0.5U^2 equation:

Simplifying
10 = U2 + 0.5U2

Combine like terms: U2 + 0.5U2 = 1.5U2
10 = 1.5U2

Solving
10 = 1.5U2

Solving for variable 'U'.

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

Add '-1.5U2' to each side of the equation.
10 + -1.5U2 = 1.5U2 + -1.5U2

Combine like terms: 1.5U2 + -1.5U2 = 0.0
10 + -1.5U2 = 0.0

Add '-10' to each side of the equation.
10 + -10 + -1.5U2 = 0.0 + -10

Combine like terms: 10 + -10 = 0
0 + -1.5U2 = 0.0 + -10
-1.5U2 = 0.0 + -10

Combine like terms: 0.0 + -10 = -10
-1.5U2 = -10

Divide each side by '-1.5'.
U2 = 6.666666667

Simplifying
U2 = 6.666666667

Take the square root of each side:
U = {-2.581988898, 2.581988898}