(7u-1)(u-3)=0

Solution for (7u-1)(u-3)=0 equation:

Simplifying
(7u + -1)(u + -3) = 0

Reorder the terms:
(-1 + 7u)(u + -3) = 0

Reorder the terms:
(-1 + 7u)(-3 + u) = 0

Multiply (-1 + 7u) * (-3 + u)
(-1(-3 + u) + 7u * (-3 + u)) = 0
((-3 * -1 + u * -1) + 7u * (-3 + u)) = 0
((3 + -1u) + 7u * (-3 + u)) = 0
(3 + -1u + (-3 * 7u + u * 7u)) = 0
(3 + -1u + (-21u + 7u2)) = 0

Combine like terms: -1u + -21u = -22u
(3 + -22u + 7u2) = 0

Solving
3 + -22u + 7u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -7u)(3 + -1u) = 0

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

Simplifying
1 + -7u = 0

Solving
1 + -7u = 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 + -7u = 0 + -1

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

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

Divide each side by '-7'.
u = 0.1428571429

Simplifying
u = 0.1428571429
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 = {0.1428571429, 3}