2f^2+7f-15=0

Solution for 2f^2+7f-15=0 equation:

Simplifying
2f2 + 7f + -15 = 0

Reorder the terms:
-15 + 7f + 2f2 = 0

Solving
-15 + 7f + 2f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-5 + -1f)(3 + -2f) = 0

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

Simplifying
-5 + -1f = 0

Solving
-5 + -1f = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1f = 0 + 5

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

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

Divide each side by '-1'.
f = -5

Simplifying
f = -5
Subproblem 2
Set the factor '(3 + -2f)' equal to zero and attempt to solve:

Simplifying
3 + -2f = 0

Solving
3 + -2f = 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 + -2f = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2f = 0 + -3
-2f = 0 + -3

Combine like terms: 0 + -3 = -3
-2f = -3

Divide each side by '-2'.
f = 1.5

Simplifying
f = 1.5
Solution
f = {-5, 1.5}