f(2a)=2a^2-4*2a

Solution for f(2a)=2a^2-4*2a equation:

Simplifying
f(2a) = 2a2 + -4 * 2a

Remove parenthesis around (2a)
f * 2a = 2a2 + -4 * 2a

Reorder the terms for easier multiplication:
2f * a = 2a2 + -4 * 2a

Multiply f * a
2af = 2a2 + -4 * 2a

Multiply -4 * 2
2af = 2a2 + -8a

Reorder the terms:
2af = -8a + 2a2

Solving
2af = -8a + 2a2

Solving for variable 'a'.

Reorder the terms:
8a + 2af + -2a2 = -8a + 2a2 + 8a + -2a2

Reorder the terms:
8a + 2af + -2a2 = -8a + 8a + 2a2 + -2a2

Combine like terms: -8a + 8a = 0
8a + 2af + -2a2 = 0 + 2a2 + -2a2
8a + 2af + -2a2 = 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
8a + 2af + -2a2 = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(4 + f + -1a) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(4 + f + -1a)' equal to zero and attempt to solve:

Simplifying
4 + f + -1a = 0

Reorder the terms:
4 + -1a + f = 0

Solving
4 + -1a + f = 0

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

Add '-4' to each side of the equation.
4 + -1a + -4 + f = 0 + -4

Reorder the terms:
4 + -4 + -1a + f = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a + f = 0 + -4
-1a + f = 0 + -4

Combine like terms: 0 + -4 = -4
-1a + f = -4

Add '-1f' to each side of the equation.
-1a + f + -1f = -4 + -1f

Combine like terms: f + -1f = 0
-1a + 0 = -4 + -1f
-1a = -4 + -1f

Divide each side by '-1'.
a = 4 + f

Simplifying
a = 4 + f
Solution
a = {0, 4 + f}