u+3u-4u^2-u=

Solution for u+3u-4u^2-u= equation:

Simplifying
u + 3u + -4u2 + -1u = 0

Reorder the terms:
u + 3u + -1u + -4u2 = 0

Combine like terms: u + 3u = 4u
4u + -1u + -4u2 = 0

Combine like terms: 4u + -1u = 3u
3u + -4u2 = 0

Solving
3u + -4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(3 + -4u) = 0

Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
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
Solution
u = {0, 0.75}