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0\times 1x+0\times 3=0\times 0\times 2x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
0x+0=0\times 0\times 2x
Multiply 0 and 1 to get 0. Multiply 0 and 3 to get 0.
0+0=0\times 0\times 2x
Anything times zero gives zero.
0=0\times 0\times 2x
Add 0 and 0 to get 0.
0=0\times 2x
Multiply 0 and 0 to get 0.
0=0x
Multiply 0 and 2 to get 0.
0=0
Anything times zero gives zero.
\text{true}
Compare 0 and 0.
x\in \mathrm{R}
This is true for any x.
x\in \mathrm{R}\setminus 0
Variable x cannot be equal to 0.