5f+10f^2-4f+3f=

Solution for 5f+10f^2-4f+3f= equation:

Simplifying
5f + 10f2 + -4f + 3f = 0

Reorder the terms:
5f + -4f + 3f + 10f2 = 0

Combine like terms: 5f + -4f = 1f
1f + 3f + 10f2 = 0

Combine like terms: 1f + 3f = 4f
4f + 10f2 = 0

Solving
4f + 10f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '2f'.
2f(2 + 5f) = 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 '(2 + 5f)' equal to zero and attempt to solve:

Simplifying
2 + 5f = 0

Solving
2 + 5f = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5f = 0 + -2
5f = 0 + -2

Combine like terms: 0 + -2 = -2
5f = -2

Divide each side by '5'.
f = -0.4

Simplifying
f = -0.4
Solution
f = {0, -0.4}