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

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


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

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

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

Multiply (4 + f) * (-4 + f)
(4(-4 + f) + f(-4 + f)) = f(f + -6) + 8 * 4
((-4 * 4 + f * 4) + f(-4 + f)) = f(f + -6) + 8 * 4
((-16 + 4f) + f(-4 + f)) = f(f + -6) + 8 * 4
(-16 + 4f + (-4 * f + f * f)) = f(f + -6) + 8 * 4
(-16 + 4f + (-4f + f2)) = f(f + -6) + 8 * 4

Combine like terms: 4f + -4f = 0
(-16 + 0 + f2) = f(f + -6) + 8 * 4
(-16 + f2) = f(f + -6) + 8 * 4

Reorder the terms:
-16 + f2 = f(-6 + f) + 8 * 4
-16 + f2 = (-6 * f + f * f) + 8 * 4
-16 + f2 = (-6f + f2) + 8 * 4

Multiply 8 * 4
-16 + f2 = -6f + f2 + 32

Reorder the terms:
-16 + f2 = 32 + -6f + f2

Add '-1f2' to each side of the equation.
-16 + f2 + -1f2 = 32 + -6f + f2 + -1f2

Combine like terms: f2 + -1f2 = 0
-16 + 0 = 32 + -6f + f2 + -1f2
-16 = 32 + -6f + f2 + -1f2

Combine like terms: f2 + -1f2 = 0
-16 = 32 + -6f + 0
-16 = 32 + -6f

Solving
-16 = 32 + -6f

Solving for variable 'f'.

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

Add '6f' to each side of the equation.
-16 + 6f = 32 + -6f + 6f

Combine like terms: -6f + 6f = 0
-16 + 6f = 32 + 0
-16 + 6f = 32

Add '16' to each side of the equation.
-16 + 16 + 6f = 32 + 16

Combine like terms: -16 + 16 = 0
0 + 6f = 32 + 16
6f = 32 + 16

Combine like terms: 32 + 16 = 48
6f = 48

Divide each side by '6'.
f = 8

Simplifying
f = 8

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