2f^3+11f^2-13f=0

Solution for 2f^3+11f^2-13f=0 equation:

Simplifying
2f3 + 11f2 + -13f = 0

Reorder the terms:
-13f + 11f2 + 2f3 = 0

Solving
-13f + 11f2 + 2f3 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), 'f'.
f(-13 + 11f + 2f2) = 0

Factor a trinomial.
f((-13 + -2f)(1 + -1f)) = 0

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 '(-13 + -2f)' equal to zero and attempt to solve:

Simplifying
-13 + -2f = 0

Solving
-13 + -2f = 0

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

Add '13' to each side of the equation.
-13 + 13 + -2f = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2f = 0 + 13
-2f = 0 + 13

Combine like terms: 0 + 13 = 13
-2f = 13

Divide each side by '-2'.
f = -6.5

Simplifying
f = -6.5
Subproblem 3
Set the factor '(1 + -1f)' equal to zero and attempt to solve:

Simplifying
1 + -1f = 0

Solving
1 + -1f = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1f = 0 + -1

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

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

Divide each side by '-1'.
f = 1

Simplifying
f = 1
Solution
f = {0, -6.5, 1}