10u^2+11u-8=

Solution for 10u^2+11u-8= equation:

Simplifying
10u2 + 11u + -8 = 0

Reorder the terms:
-8 + 11u + 10u2 = 0

Solving
-8 + 11u + 10u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + -5u)(1 + -2u) = 0

Subproblem 1
Set the factor '(-8 + -5u)' equal to zero and attempt to solve:

Simplifying
-8 + -5u = 0

Solving
-8 + -5u = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5u = 0 + 8
-5u = 0 + 8

Combine like terms: 0 + 8 = 8
-5u = 8

Divide each side by '-5'.
u = -1.6

Simplifying
u = -1.6
Subproblem 2
Set the factor '(1 + -2u)' equal to zero and attempt to solve:

Simplifying
1 + -2u = 0

Solving
1 + -2u = 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 + -2u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2u = 0 + -1
-2u = 0 + -1

Combine like terms: 0 + -1 = -1
-2u = -1

Divide each side by '-2'.
u = 0.5

Simplifying
u = 0.5
Solution
u = {-1.6, 0.5}