Ab*cb=ba*bc

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Solution for Ab*cb=ba*bc equation:


Simplifying
Ab * cb = ba * bc

Multiply bA * bc
b2cA = ba * bc

Multiply ab * bc
b2cA = ab2c

Solving
b2cA = ab2c

Solving for variable 'b'.

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

Add '-1ab2c' to each side of the equation.
-1ab2c + b2cA = ab2c + -1ab2c

Combine like terms: ab2c + -1ab2c = 0
-1ab2c + b2cA = 0

Factor out the Greatest Common Factor (GCF), 'b2c'.
b2c(-1a + A) = 0

Subproblem 1

Set the factor 'b2c' equal to zero and attempt to solve: Simplifying b2c = 0 Solving b2c = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2c = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1a + A)' equal to zero and attempt to solve: Simplifying -1a + A = 0 Reorder the terms: A + -1a = 0 Solving A + -1a = 0 Move all terms containing b to the left, all other terms to the right. Add '-1A' to each side of the equation. A + -1A + -1a = 0 + -1A Combine like terms: A + -1A = 0 0 + -1a = 0 + -1A -1a = 0 + -1A Remove the zero: -1a = -1A Add 'a' to each side of the equation. -1a + a = -1A + a Combine like terms: -1a + a = 0 0 = -1A + a Simplifying 0 = -1A + a The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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