78u*78u=78u

Solution for 78u*78u=78u equation:

Simplifying
78u * 78u = 78u

Reorder the terms for easier multiplication:
78 * 78u * u = 78u

Multiply 78 * 78
6084u * u = 78u

Multiply u * u
6084u2 = 78u

Solving
6084u2 = 78u

Solving for variable 'u'.

Reorder the terms:
-78u + 6084u2 = 78u + -78u

Combine like terms: 78u + -78u = 0
-78u + 6084u2 = 0

Factor out the Greatest Common Factor (GCF), '78u'.
78u(-1 + 78u) = 0

Ignore the factor 78.
Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(-1 + 78u)' equal to zero and attempt to solve:

Simplifying
-1 + 78u = 0

Solving
-1 + 78u = 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 + 78u = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 78u = 0 + 1
78u = 0 + 1

Combine like terms: 0 + 1 = 1
78u = 1

Divide each side by '78'.
u = 0.01282051282

Simplifying
u = 0.01282051282
Solution
u = {0, 0.01282051282}