(6u+1)(2u-5)=0

Solution for (6u+1)(2u-5)=0 equation:

Simplifying
(6u + 1)(2u + -5) = 0

Reorder the terms:
(1 + 6u)(2u + -5) = 0

Reorder the terms:
(1 + 6u)(-5 + 2u) = 0

Multiply (1 + 6u) * (-5 + 2u)
(1(-5 + 2u) + 6u * (-5 + 2u)) = 0
((-5 * 1 + 2u * 1) + 6u * (-5 + 2u)) = 0
((-5 + 2u) + 6u * (-5 + 2u)) = 0
(-5 + 2u + (-5 * 6u + 2u * 6u)) = 0
(-5 + 2u + (-30u + 12u2)) = 0

Combine like terms: 2u + -30u = -28u
(-5 + -28u + 12u2) = 0

Solving
-5 + -28u + 12u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -6u)(5 + -2u) = 0

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

Simplifying
-1 + -6u = 0

Solving
-1 + -6u = 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 + -6u = 0 + 1

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

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

Divide each side by '-6'.
u = -0.1666666667

Simplifying
u = -0.1666666667
Subproblem 2
Set the factor '(5 + -2u)' equal to zero and attempt to solve:

Simplifying
5 + -2u = 0

Solving
5 + -2u = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2u = 0 + -5
-2u = 0 + -5

Combine like terms: 0 + -5 = -5
-2u = -5

Divide each side by '-2'.
u = 2.5

Simplifying
u = 2.5
Solution
u = {-0.1666666667, 2.5}