0=u^2-7u+12

Solution for 0=u^2-7u+12 equation:

Simplifying
0 = u2 + -7u + 12

Reorder the terms:
0 = 12 + -7u + u2

Solving
0 = 12 + -7u + u2

Solving for variable 'u'.

Combine like terms: 0 + -12 = -12
-12 + 7u + -1u2 = 12 + -7u + u2 + -12 + 7u + -1u2

Reorder the terms:
-12 + 7u + -1u2 = 12 + -12 + -7u + 7u + u2 + -1u2

Combine like terms: 12 + -12 = 0
-12 + 7u + -1u2 = 0 + -7u + 7u + u2 + -1u2
-12 + 7u + -1u2 = -7u + 7u + u2 + -1u2

Combine like terms: -7u + 7u = 0
-12 + 7u + -1u2 = 0 + u2 + -1u2
-12 + 7u + -1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
-12 + 7u + -1u2 = 0

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

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

Simplifying
-4 + u = 0

Solving
-4 + u = 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 + u = 0 + 4

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

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

Simplifying
u = 4
Subproblem 2
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
Solution
u = {4, 3}