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0x^{2}+8x+12=0
Multiply 0 and 5 to get 0.
0+8x+12=0
Anything times zero gives zero.
12+8x=0
Add 0 and 12 to get 12.
8x=-12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-12}{8}
Divide both sides by 8.
x=-\frac{3}{2}
Reduce the fraction \frac{-12}{8} to lowest terms by extracting and canceling out 4.