f(2a)=2x(2a)

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Solution for f(2a)=2x(2a) equation: 


Simplifying
f(2a) = 2x(2a)

Remove parenthesis around (2a)
f * 2a = 2x(2a)

Reorder the terms for easier multiplication:
2f * a = 2x(2a)

Multiply f * a
2af = 2x(2a)

Remove parenthesis around (2a)
2af = 2x * 2a

Reorder the terms for easier multiplication:
2af = 2 * 2x * a

Multiply 2 * 2
2af = 4x * a

Multiply x * a
2af = 4ax

Solving
2af = 4ax

Solving for variable 'a'.

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

Add '-4ax' to each side of the equation.
2af + -4ax = 4ax + -4ax

Combine like terms: 4ax + -4ax = 0
2af + -4ax = 0

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

Simplifying
f + -2x = 0

Solving
f + -2x = 0

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

Add '-1f' to each side of the equation.
f + -1f + -2x = 0 + -1f

Combine like terms: f + -1f = 0
0 + -2x = 0 + -1f
-2x = 0 + -1f
Remove the zero:
-2x = -1f

Add '2x' to each side of the equation.
-2x + 2x = -1f + 2x

Combine like terms: -2x + 2x = 0
0 = -1f + 2x

Simplifying
0 = -1f + 2x

The solution to this equation could not be determined.

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

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