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0x^{2}+12x+9=0
Multiply 0 and 1 to get 0.
0+12x+9=0
Anything times zero gives zero.
9+12x=0
Add 0 and 9 to get 9.
12x=-9
Subtract 9 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-9}{12}
Divide both sides by 12.
x=-\frac{3}{4}
Reduce the fraction \frac{-9}{12} to lowest terms by extracting and canceling out 3.