2ax-abx=a

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Solution for 2ax-abx=a equation:


Simplifying
2ax + -1abx = a

Reorder the terms:
-1abx + 2ax = a

Solving
-1abx + 2ax = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-1abx + -1a + 2ax = a + -1a

Reorder the terms:
-1a + -1abx + 2ax = a + -1a

Combine like terms: a + -1a = 0
-1a + -1abx + 2ax = 0

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