3u^2-24U+6=0

Solution for 3u^2-24U+6=0 equation:

Simplifying
3u2 + -24U + 6 = 0

Reorder the terms:
6 + -24U + 3u2 = 0

Solving
6 + -24U + 3u2 = 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 + -24U + -6 + 3u2 = 0 + -6

Reorder the terms:
6 + -6 + -24U + 3u2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -24U + 3u2 = 0 + -6
-24U + 3u2 = 0 + -6

Combine like terms: 0 + -6 = -6
-24U + 3u2 = -6

Add '-3u2' to each side of the equation.
-24U + 3u2 + -3u2 = -6 + -3u2

Combine like terms: 3u2 + -3u2 = 0
-24U + 0 = -6 + -3u2
-24U = -6 + -3u2

Divide each side by '-24'.
U = 0.25 + 0.125u2

Simplifying
U = 0.25 + 0.125u2