5f^2-2f=-46

Solution for 5f^2-2f=-46 equation:

Simplifying
5f2 + -2f = -46

Reorder the terms:
-2f + 5f2 = -46

Solving
-2f + 5f2 = -46

Solving for variable 'f'.

Reorder the terms:
46 + -2f + 5f2 = -46 + 46

Combine like terms: -46 + 46 = 0
46 + -2f + 5f2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
9.2 + -0.4f + f2 = 0

Move the constant term to the right:

Add '-9.2' to each side of the equation.
9.2 + -0.4f + -9.2 + f2 = 0 + -9.2

Reorder the terms:
9.2 + -9.2 + -0.4f + f2 = 0 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + -0.4f + f2 = 0 + -9.2
-0.4f + f2 = 0 + -9.2

Combine like terms: 0 + -9.2 = -9.2
-0.4f + f2 = -9.2

The f term is -0.4f.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4f + 0.04 + f2 = -9.2 + 0.04

Reorder the terms:
0.04 + -0.4f + f2 = -9.2 + 0.04

Combine like terms: -9.2 + 0.04 = -9.16
0.04 + -0.4f + f2 = -9.16

Factor a perfect square on the left side:
(f + -0.2)(f + -0.2) = -9.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.