u^2=(7u-12)

Solution for u^2=(7u-12) equation:

Simplifying
u2 = (7u + -12)

Reorder the terms:
u2 = (-12 + 7u)

Remove parenthesis around (-12 + 7u)
u2 = -12 + 7u

Solving
u2 = -12 + 7u

Solving for variable 'u'.

Reorder the terms:
12 + -7u + u2 = -12 + 7u + 12 + -7u

Reorder the terms:
12 + -7u + u2 = -12 + 12 + 7u + -7u

Combine like terms: -12 + 12 = 0
12 + -7u + u2 = 0 + 7u + -7u
12 + -7u + u2 = 7u + -7u

Combine like terms: 7u + -7u = 0
12 + -7u + u2 = 0

Factor a trinomial.
(3 + -1u)(4 + -1u) = 0

Subproblem 1
Set the factor '(3 + -1u)' equal to zero and attempt to solve:

Simplifying
3 + -1u = 0

Solving
3 + -1u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3
Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {3, 4}