U^2+12=7U

Solution for U^2+12=7U equation:

Simplifying
U2 + 12 = 7U

Reorder the terms:
12 + U2 = 7U

Solving
12 + U2 = 7U

Solving for variable 'U'.

Reorder the terms:
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}