(u-6)(7u-6)=0

Solution for (u-6)(7u-6)=0 equation:

Simplifying
(u + -6)(7u + -6) = 0

Reorder the terms:
(-6 + u)(7u + -6) = 0

Reorder the terms:
(-6 + u)(-6 + 7u) = 0

Multiply (-6 + u) * (-6 + 7u)
(-6(-6 + 7u) + u(-6 + 7u)) = 0
((-6 * -6 + 7u * -6) + u(-6 + 7u)) = 0
((36 + -42u) + u(-6 + 7u)) = 0
(36 + -42u + (-6 * u + 7u * u)) = 0
(36 + -42u + (-6u + 7u2)) = 0

Combine like terms: -42u + -6u = -48u
(36 + -48u + 7u2) = 0

Solving
36 + -48u + 7u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(6 + -7u)(6 + -1u) = 0

Subproblem 1
Set the factor '(6 + -7u)' equal to zero and attempt to solve:

Simplifying
6 + -7u = 0

Solving
6 + -7u = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7u = 0 + -6
-7u = 0 + -6

Combine like terms: 0 + -6 = -6
-7u = -6

Divide each side by '-7'.
u = 0.8571428571

Simplifying
u = 0.8571428571
Subproblem 2
Set the factor '(6 + -1u)' equal to zero and attempt to solve:

Simplifying
6 + -1u = 0

Solving
6 + -1u = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 0 + -6
-1u = 0 + -6

Combine like terms: 0 + -6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

Simplifying
u = 6
Solution
u = {0.8571428571, 6}