5xb-b=-7ab

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Solution for 5xb-b=-7ab equation: 


Simplifying
5xb + -1b = -7ab

Reorder the terms:
-1b + 5bx = -7ab

Solving
-1b + 5bx = -7ab

Solving for variable 'b'.

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

Add '7ab' to each side of the equation.
-1b + 7ab + 5bx = -7ab + 7ab

Reorder the terms:
7ab + -1b + 5bx = -7ab + 7ab

Combine like terms: -7ab + 7ab = 0
7ab + -1b + 5bx = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(7a + -1 + 5x) = 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 '(7a + -1 + 5x)' equal to zero and attempt to solve:

Simplifying
7a + -1 + 5x = 0

Reorder the terms:
-1 + 7a + 5x = 0

Solving
-1 + 7a + 5x = 0

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

Add '1' to each side of the equation.
-1 + 7a + 1 + 5x = 0 + 1

Reorder the terms:
-1 + 1 + 7a + 5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7a + 5x = 0 + 1
7a + 5x = 0 + 1

Combine like terms: 0 + 1 = 1
7a + 5x = 1

Add '-7a' to each side of the equation.
7a + -7a + 5x = 1 + -7a

Combine like terms: 7a + -7a = 0
0 + 5x = 1 + -7a
5x = 1 + -7a

Add '-5x' to each side of the equation.
5x + -5x = 1 + -7a + -5x

Combine like terms: 5x + -5x = 0
0 = 1 + -7a + -5x

Simplifying
0 = 1 + -7a + -5x

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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