f(2a)=-2(2a)+3(2a)

Solution for f(2a)=-2(2a)+3(2a) equation:

Simplifying
f(2a) = -2(2a) + 3(2a)

Remove parenthesis around (2a)
f * 2a = -2(2a) + 3(2a)

Reorder the terms for easier multiplication:
2f * a = -2(2a) + 3(2a)

Multiply f * a
2af = -2(2a) + 3(2a)

Remove parenthesis around (2a)
2af = -2 * 2a + 3(2a)

Multiply -2 * 2
2af = -4a + 3(2a)

Remove parenthesis around (2a)
2af = -4a + 3 * 2a

Multiply 3 * 2
2af = -4a + 6a

Combine like terms: -4a + 6a = 2a
2af = 2a

Solving
2af = 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-2a + 2af = 2a + -2a

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

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-1 + f) = 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 '(-1 + f)' equal to zero and attempt to solve:

Simplifying
-1 + f = 0

Solving
-1 + f = 0

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

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

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

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

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

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

Simplifying
0 = 1 + -1f

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}