5f(5f-16)=-15

Solution for 5f(5f-16)=-15 equation:

Simplifying
5f(5f + -16) = -15

Reorder the terms:
5f(-16 + 5f) = -15
(-16 * 5f + 5f * 5f) = -15
(-80f + 25f2) = -15

Solving
-80f + 25f2 = -15

Solving for variable 'f'.

Reorder the terms:
15 + -80f + 25f2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + -80f + 25f2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -16f + 5f2) = 0

Factor a trinomial.
5((1 + -5f)(3 + -1f)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(1 + -5f)' equal to zero and attempt to solve:

Simplifying
1 + -5f = 0

Solving
1 + -5f = 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 + -5f = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5f = 0 + -1
-5f = 0 + -1

Combine like terms: 0 + -1 = -1
-5f = -1

Divide each side by '-5'.
f = 0.2

Simplifying
f = 0.2
Subproblem 2
Set the factor '(3 + -1f)' equal to zero and attempt to solve:

Simplifying
3 + -1f = 0

Solving
3 + -1f = 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 + -1f = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1f = 0 + -3
-1f = 0 + -3

Combine like terms: 0 + -3 = -3
-1f = -3

Divide each side by '-1'.
f = 3

Simplifying
f = 3
Solution
f = {0.2, 3}