Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{x^{2}+y^{2}+c}{b+1}\text{, }&b\neq -1\\a\in \mathrm{C}\text{, }&c=-\left(x^{2}+y^{2}\right)\text{ and }b=-1\end{matrix}\right.
Solve for b (complex solution)
\left\{\begin{matrix}b=-\frac{x^{2}+y^{2}+a+c}{a}\text{, }&a\neq 0\\b\in \mathrm{C}\text{, }&c=-\left(x^{2}+y^{2}\right)\text{ and }a=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{x^{2}+y^{2}+c}{b+1}\text{, }&b\neq -1\\a\in \mathrm{R}\text{, }&c=-\left(x^{2}+y^{2}\right)\text{ and }b=-1\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b=-\frac{x^{2}+y^{2}+a+c}{a}\text{, }&a\neq 0\\b\in \mathrm{R}\text{, }&c=-\left(x^{2}+y^{2}\right)\text{ and }a=0\end{matrix}\right.
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y^{2}+a+ab+c=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
a+ab+c=-x^{2}-y^{2}
Subtract y^{2} from both sides.
a+ab=-x^{2}-y^{2}-c
Subtract c from both sides.
\left(1+b\right)a=-x^{2}-y^{2}-c
Combine all terms containing a.
\left(b+1\right)a=-x^{2}-y^{2}-c
The equation is in standard form.
\frac{\left(b+1\right)a}{b+1}=\frac{-x^{2}-y^{2}-c}{b+1}
Divide both sides by 1+b.
a=\frac{-x^{2}-y^{2}-c}{b+1}
Dividing by 1+b undoes the multiplication by 1+b.
a=-\frac{x^{2}+y^{2}+c}{b+1}
Divide -x^{2}-y^{2}-c by 1+b.
y^{2}+a+ab+c=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
a+ab+c=-x^{2}-y^{2}
Subtract y^{2} from both sides.
ab+c=-x^{2}-y^{2}-a
Subtract a from both sides.
ab=-x^{2}-y^{2}-a-c
Subtract c from both sides.
\frac{ab}{a}=\frac{-x^{2}-y^{2}-a-c}{a}
Divide both sides by a.
b=\frac{-x^{2}-y^{2}-a-c}{a}
Dividing by a undoes the multiplication by a.
b=-\frac{x^{2}+y^{2}+a+c}{a}
Divide -x^{2}-y^{2}-a-c by a.
y^{2}+a+ab+c=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
a+ab+c=-x^{2}-y^{2}
Subtract y^{2} from both sides.
a+ab=-x^{2}-y^{2}-c
Subtract c from both sides.
\left(1+b\right)a=-x^{2}-y^{2}-c
Combine all terms containing a.
\left(b+1\right)a=-x^{2}-y^{2}-c
The equation is in standard form.
\frac{\left(b+1\right)a}{b+1}=\frac{-x^{2}-y^{2}-c}{b+1}
Divide both sides by 1+b.
a=\frac{-x^{2}-y^{2}-c}{b+1}
Dividing by 1+b undoes the multiplication by 1+b.
a=-\frac{x^{2}+y^{2}+c}{b+1}
Divide -x^{2}-y^{2}-c by 1+b.
y^{2}+a+ab+c=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
a+ab+c=-x^{2}-y^{2}
Subtract y^{2} from both sides.
ab+c=-x^{2}-y^{2}-a
Subtract a from both sides.
ab=-x^{2}-y^{2}-a-c
Subtract c from both sides.
\frac{ab}{a}=\frac{-x^{2}-y^{2}-a-c}{a}
Divide both sides by a.
b=\frac{-x^{2}-y^{2}-a-c}{a}
Dividing by a undoes the multiplication by a.
b=-\frac{x^{2}+y^{2}+a+c}{a}
Divide -x^{2}-y^{2}-a-c by a.
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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