A*a=2a

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Solution for A*a=2a equation:


Simplifying
A * a = 2a

Multiply A * a
aA = 2a

Solving
aA = 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 + aA = 2a + -2a

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

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

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 '(-2 + A)' equal to zero and attempt to solve: Simplifying -2 + A = 0 Solving -2 + A = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + A = 0 + 2 Combine like terms: -2 + 2 = 0 0 + A = 0 + 2 A = 0 + 2 Combine like terms: 0 + 2 = 2 A = 2 Add '-1A' to each side of the equation. A + -1A = 2 + -1A Combine like terms: A + -1A = 0 0 = 2 + -1A Simplifying 0 = 2 + -1A 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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