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

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

Simplifying
-4u2 + -1u + u2 + 2u2 = 0

Reorder the terms:
-1u + -4u2 + u2 + 2u2 = 0

Combine like terms: -4u2 + u2 = -3u2
-1u + -3u2 + 2u2 = 0

Combine like terms: -3u2 + 2u2 = -1u2
-1u + -1u2 = 0

Solving
-1u + -1u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-1u'.
-1u(1 + u) = 0

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

Simplifying
1 + u = 0

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

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

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

Simplifying
u = -1
Solution
u = {0, -1}