bx+b=ba

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Solution for bx+b=ba equation:


Simplifying
bx + b = ba

Reorder the terms:
b + bx = ba

Solving
b + bx = ab

Solving for variable 'b'.

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

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

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

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

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

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

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

Solution

b = {0}

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