28u^2-27u-10=0

Solution for 28u^2-27u-10=0 equation:

Simplifying
28u2 + -27u + -10 = 0

Reorder the terms:
-10 + -27u + 28u2 = 0

Solving
-10 + -27u + 28u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + -7u)(5 + -4u) = 0

Subproblem 1
Set the factor '(-2 + -7u)' equal to zero and attempt to solve:

Simplifying
-2 + -7u = 0

Solving
-2 + -7u = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7u = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7u = 0 + 2
-7u = 0 + 2

Combine like terms: 0 + 2 = 2
-7u = 2

Divide each side by '-7'.
u = -0.2857142857

Simplifying
u = -0.2857142857
Subproblem 2
Set the factor '(5 + -4u)' equal to zero and attempt to solve:

Simplifying
5 + -4u = 0

Solving
5 + -4u = 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 + -4u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4u = 0 + -5
-4u = 0 + -5

Combine like terms: 0 + -5 = -5
-4u = -5

Divide each side by '-4'.
u = 1.25

Simplifying
u = 1.25
Solution
u = {-0.2857142857, 1.25}