4f^2+15f-4=0

Solution for 4f^2+15f-4=0 equation:

Simplifying
4f2 + 15f + -4 = 0

Reorder the terms:
-4 + 15f + 4f2 = 0

Solving
-4 + 15f + 4f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-4 + -1f)(1 + -4f) = 0

Subproblem 1
Set the factor '(-4 + -1f)' equal to zero and attempt to solve:

Simplifying
-4 + -1f = 0

Solving
-4 + -1f = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1f = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1f = 0 + 4
-1f = 0 + 4

Combine like terms: 0 + 4 = 4
-1f = 4

Divide each side by '-1'.
f = -4

Simplifying
f = -4
Subproblem 2
Set the factor '(1 + -4f)' equal to zero and attempt to solve:

Simplifying
1 + -4f = 0

Solving
1 + -4f = 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 + -4f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4f = 0 + -1
-4f = 0 + -1

Combine like terms: 0 + -1 = -1
-4f = -1

Divide each side by '-4'.
f = 0.25

Simplifying
f = 0.25
Solution
f = {-4, 0.25}