3bx+6bc=7bx+3bc

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Solution for 3bx+6bc=7bx+3bc equation: 


Simplifying
3bx + 6bc = 7bx + 3bc

Reorder the terms:
6bc + 3bx = 7bx + 3bc

Reorder the terms:
6bc + 3bx = 3bc + 7bx

Solving
6bc + 3bx = 3bc + 7bx

Solving for variable 'b'.

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

Add '-3bc' to each side of the equation.
6bc + -3bc + 3bx = 3bc + -3bc + 7bx

Combine like terms: 6bc + -3bc = 3bc
3bc + 3bx = 3bc + -3bc + 7bx

Combine like terms: 3bc + -3bc = 0
3bc + 3bx = 0 + 7bx
3bc + 3bx = 7bx

Add '-7bx' to each side of the equation.
3bc + 3bx + -7bx = 7bx + -7bx

Combine like terms: 3bx + -7bx = -4bx
3bc + -4bx = 7bx + -7bx

Combine like terms: 7bx + -7bx = 0
3bc + -4bx = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(3c + -4x) = 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 '(3c + -4x)' equal to zero and attempt to solve:

Simplifying
3c + -4x = 0

Solving
3c + -4x = 0

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

Add '-3c' to each side of the equation.
3c + -3c + -4x = 0 + -3c

Combine like terms: 3c + -3c = 0
0 + -4x = 0 + -3c
-4x = 0 + -3c
Remove the zero:
-4x = -3c

Add '4x' to each side of the equation.
-4x + 4x = -3c + 4x

Combine like terms: -4x + 4x = 0
0 = -3c + 4x

Simplifying
0 = -3c + 4x

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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