6u^2-78u+72=

Solution for 6u^2-78u+72= equation:

Simplifying
6u2 + -78u + 72 = 0

Reorder the terms:
72 + -78u + 6u2 = 0

Solving
72 + -78u + 6u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6'.
6(12 + -13u + u2) = 0

Factor a trinomial.
6((1 + -1u)(12 + -1u)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + -1u)' equal to zero and attempt to solve:

Simplifying
1 + -1u = 0

Solving
1 + -1u = 0

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

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

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

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

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

Simplifying
u = 1
Subproblem 2
Set the factor '(12 + -1u)' equal to zero and attempt to solve:

Simplifying
12 + -1u = 0

Solving
12 + -1u = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1u = 0 + -12

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

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

Divide each side by '-1'.
u = 12

Simplifying
u = 12
Solution
u = {1, 12}