-8u^2+10u-3=

Solution for -8u^2+10u-3= equation:

Simplifying
-8u2 + 10u + -3 = 0

Reorder the terms:
-3 + 10u + -8u2 = 0

Solving
-3 + 10u + -8u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + 4u)(1 + -2u) = 0

Subproblem 1
Set the factor '(-3 + 4u)' equal to zero and attempt to solve:

Simplifying
-3 + 4u = 0

Solving
-3 + 4u = 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 + 4u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4u = 0 + 3
4u = 0 + 3

Combine like terms: 0 + 3 = 3
4u = 3

Divide each side by '4'.
u = 0.75

Simplifying
u = 0.75
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 = {0.75, 0.5}