Solve for x
x=\frac{y^{2}-8y+8}{8}
Solve for y (complex solution)
y=2\sqrt{2x+2}+4
y=-2\sqrt{2x+2}+4
Solve for y
y=2\sqrt{2x+2}+4
y=-2\sqrt{2x+2}+4\text{, }x\geq -1
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-8y-8x+8=-y^{2}
Subtract y^{2} from both sides. Anything subtracted from zero gives its negation.
-8x+8=-y^{2}+8y
Add 8y to both sides.
-8x=-y^{2}+8y-8
Subtract 8 from both sides.
\frac{-8x}{-8}=\frac{-y^{2}+8y-8}{-8}
Divide both sides by -8.
x=\frac{-y^{2}+8y-8}{-8}
Dividing by -8 undoes the multiplication by -8.
x=\frac{y^{2}}{8}-y+1
Divide -y^{2}+8y-8 by -8.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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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