8+f*f=4(f-6)

Solution for 8+f*f=4(f-6) equation:

Simplifying
8 + f * f = 4(f + -6)

Multiply f * f
8 + f2 = 4(f + -6)

Reorder the terms:
8 + f2 = 4(-6 + f)
8 + f2 = (-6 * 4 + f * 4)
8 + f2 = (-24 + 4f)

Solving
8 + f2 = -24 + 4f

Solving for variable 'f'.

Reorder the terms:
8 + 24 + -4f + f2 = -24 + 4f + 24 + -4f

Combine like terms: 8 + 24 = 32
32 + -4f + f2 = -24 + 4f + 24 + -4f

Reorder the terms:
32 + -4f + f2 = -24 + 24 + 4f + -4f

Combine like terms: -24 + 24 = 0
32 + -4f + f2 = 0 + 4f + -4f
32 + -4f + f2 = 4f + -4f

Combine like terms: 4f + -4f = 0
32 + -4f + f2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -4f + -32 + f2 = 0 + -32

Reorder the terms:
32 + -32 + -4f + f2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -4f + f2 = 0 + -32
-4f + f2 = 0 + -32

Combine like terms: 0 + -32 = -32
-4f + f2 = -32

The f term is -4f.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4f + 4 + f2 = -32 + 4

Reorder the terms:
4 + -4f + f2 = -32 + 4

Combine like terms: -32 + 4 = -28
4 + -4f + f2 = -28

Factor a perfect square on the left side:
(f + -2)(f + -2) = -28

Can't calculate square root of the right side.

The solution to this equation could not be determined.