3f^2+2f-f^2+4f=

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

Simplifying
3f2 + 2f + -1f2 + 4f = 0

Reorder the terms:
2f + 4f + 3f2 + -1f2 = 0

Combine like terms: 2f + 4f = 6f
6f + 3f2 + -1f2 = 0

Combine like terms: 3f2 + -1f2 = 2f2
6f + 2f2 = 0

Solving
6f + 2f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '2f'.
2f(3 + f) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'f' equal to zero and attempt to solve:

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0
Subproblem 2
Set the factor '(3 + f)' equal to zero and attempt to solve:

Simplifying
3 + f = 0

Solving
3 + f = 0

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

Add '-3' to each side of the equation.
3 + -3 + f = 0 + -3

Combine like terms: 3 + -3 = 0
0 + f = 0 + -3
f = 0 + -3

Combine like terms: 0 + -3 = -3
f = -3

Simplifying
f = -3
Solution
f = {0, -3}