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x^{2}+3x+4-x^{2}=0
Subtract x^{2} from both sides.
3x+4=0
Combine x^{2} and -x^{2} to get 0.
3x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-4}{3}
Divide both sides by 3.
x=-\frac{4}{3}
Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.