Solve for b
b\in \mathrm{R}
c\neq 0
Solve for c
c\neq 0
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bc=bc
Multiply both sides of the equation by c.
bc-bc=0
Subtract bc from both sides.
0=0
Combine bc and -bc to get 0.
\text{true}
Compare 0 and 0.
b\in \mathrm{R}
This is true for any b.
bc=bc
Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by c.
bc-bc=0
Subtract bc from both sides.
0=0
Combine bc and -bc to get 0.
\text{true}
Compare 0 and 0.
c\in \mathrm{R}
This is true for any c.
c\in \mathrm{R}\setminus 0
Variable c cannot be equal to 0.
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