-20u^2+55u=35

Solution for -20u^2+55u=35 equation:

Simplifying
-20u2 + 55u = 35

Reorder the terms:
55u + -20u2 = 35

Solving
55u + -20u2 = 35

Solving for variable 'u'.

Reorder the terms:
-35 + 55u + -20u2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 55u + -20u2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-7 + 11u + -4u2) = 0

Factor a trinomial.
5((-7 + 4u)(1 + -1u)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-7 + 4u)' equal to zero and attempt to solve:

Simplifying
-7 + 4u = 0

Solving
-7 + 4u = 0

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

Add '7' to each side of the equation.
-7 + 7 + 4u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4u = 0 + 7
4u = 0 + 7

Combine like terms: 0 + 7 = 7
4u = 7

Divide each side by '4'.
u = 1.75

Simplifying
u = 1.75
Subproblem 2
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
Solution
u = {1.75, 1}