Solve for x
x=-\frac{2}{5}=-0.4
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-x^{2}+4x+3=-x^{2}-x+1
Combine x^{2} and -2x^{2} to get -x^{2}.
-x^{2}+4x+3+x^{2}=-x+1
Add x^{2} to both sides.
-x^{2}+4x+3+x^{2}+x=1
Add x to both sides.
-x^{2}+5x+3+x^{2}=1
Combine 4x and x to get 5x.
-x^{2}+5x+x^{2}=1-3
Subtract 3 from both sides.
-x^{2}+5x+x^{2}=-2
Subtract 3 from 1 to get -2.
5x=-2
Combine -x^{2} and x^{2} to get 0.
x=\frac{-2}{5}
Divide both sides by 5.
x=-\frac{2}{5}
Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.
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