a=axb

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Solution for a=axb equation:


Simplifying
a = axb

Solving
a = abx

Solving for variable 'a'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + -1bx) = 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)' equal to zero and attempt to solve: Simplifying 1 + -1bx = 0 Solving 1 + -1bx = 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 + -1bx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1bx = 0 + -1 -1bx = 0 + -1 Combine like terms: 0 + -1 = -1 -1bx = -1 Add 'bx' to each side of the equation. -1bx + bx = -1 + bx Combine like terms: -1bx + bx = 0 0 = -1 + bx Simplifying 0 = -1 + bx 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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