2f^2+f-10=0

Solution for 2f^2+f-10=0 equation:

Simplifying
2f2 + f + -10 = 0

Reorder the terms:
-10 + f + 2f2 = 0

Solving
-10 + f + 2f2 = 0

Solving for variable 'f'.

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

Subproblem 1
Set the factor '(-5 + -2f)' equal to zero and attempt to solve:

Simplifying
-5 + -2f = 0

Solving
-5 + -2f = 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 + -2f = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2f = 0 + 5
-2f = 0 + 5

Combine like terms: 0 + 5 = 5
-2f = 5

Divide each side by '-2'.
f = -2.5

Simplifying
f = -2.5
Subproblem 2
Set the factor '(2 + -1f)' equal to zero and attempt to solve:

Simplifying
2 + -1f = 0

Solving
2 + -1f = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1f = 0 + -2
-1f = 0 + -2

Combine like terms: 0 + -2 = -2
-1f = -2

Divide each side by '-1'.
f = 2

Simplifying
f = 2
Solution
f = {-2.5, 2}