Abc=bca-ach

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Solution for Abc=bca-ach equation:


Simplifying
Abc = bca + -1ach

Solving
bcA = abc + -1ach

Solving for variable 'b'.

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

Add '-1abc' to each side of the equation.
-1abc + bcA = abc + -1abc + -1ach

Combine like terms: abc + -1abc = 0
-1abc + bcA = 0 + -1ach
-1abc + bcA = -1ach

Reorder the terms:
-1abc + ach + bcA = -1ach + ach

Combine like terms: -1ach + ach = 0
-1abc + ach + bcA = 0

Factor out the Greatest Common Factor (GCF), 'c'.
c(-1ab + ah + bA) = 0

Subproblem 1

Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing b to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c = 0 + -1c Remove the zero: 0 = -1c Simplifying 0 = -1c 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 '(-1ab + ah + bA)' equal to zero and attempt to solve: Simplifying -1ab + ah + bA = 0 Solving -1ab + ah + bA = 0 Move all terms containing b to the left, all other terms to the right. Add '-1ah' to each side of the equation. -1ab + ah + -1ah + bA = 0 + -1ah Combine like terms: ah + -1ah = 0 -1ab + 0 + bA = 0 + -1ah -1ab + bA = 0 + -1ah Remove the zero: -1ab + bA = -1ah 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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