20u^2-52u+32=

Solution for 20u^2-52u+32= equation:

Simplifying
20u2 + -52u + 32 = 0

Reorder the terms:
32 + -52u + 20u2 = 0

Solving
32 + -52u + 20u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -13u + 5u2) = 0

Factor a trinomial.
4((1 + -1u)(8 + -5u)) = 0

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

Simplifying
1 + -1u = 0

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

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

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

Divide each side by '-1'.
u = 1

Simplifying
u = 1
Subproblem 2
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
Solution
u = {1, 1.6}