15f^2+37f-8=0

Solution for 15f^2+37f-8=0 equation:

Simplifying
15f2 + 37f + -8 = 0

Reorder the terms:
-8 + 37f + 15f2 = 0

Solving
-8 + 37f + 15f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-8 + -3f)(1 + -5f) = 0

Subproblem 1
Set the factor '(-8 + -3f)' equal to zero and attempt to solve:

Simplifying
-8 + -3f = 0

Solving
-8 + -3f = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3f = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3f = 0 + 8
-3f = 0 + 8

Combine like terms: 0 + 8 = 8
-3f = 8

Divide each side by '-3'.
f = -2.666666667

Simplifying
f = -2.666666667
Subproblem 2
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
Solution
f = {-2.666666667, 0.2}