bxa-bx=ab

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Solution for bxa-bx=ab equation:


Simplifying
bxa + -1bx = ab

Solving
abx + -1bx = ab

Solving for variable 'a'.

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

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

Reorder the terms:
-1ab + abx + -1bx = ab + -1ab

Combine like terms: ab + -1ab = 0
-1ab + abx + -1bx = 0

Add 'bx' to each side of the equation.
-1ab + abx + -1bx + bx = 0 + bx

Combine like terms: -1bx + bx = 0
-1ab + abx + 0 = 0 + bx
-1ab + abx = 0 + bx
Remove the zero:
-1ab + abx = bx

Combine like terms: bx + -1bx = 0
-1ab + abx + -1bx = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(-1a + ax + -1x) = 0

Subproblem 1

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