Solve for x
x=-\frac{y^{2}}{8}-\frac{5y}{4}+1
Solve for y (complex solution)
y=\sqrt{33-8x}-5
y=-\sqrt{33-8x}-5
Solve for y
y=\sqrt{33-8x}-5
y=-\sqrt{33-8x}-5\text{, }x\leq \frac{33}{8}
Graph
Share
Copied to clipboard
8x+10y-8=-y^{2}
Subtract y^{2} from both sides. Anything subtracted from zero gives its negation.
8x-8=-y^{2}-10y
Subtract 10y from both sides.
8x=-y^{2}-10y+8
Add 8 to both sides.
8x=8-10y-y^{2}
The equation is in standard form.
\frac{8x}{8}=\frac{8-10y-y^{2}}{8}
Divide both sides by 8.
x=\frac{8-10y-y^{2}}{8}
Dividing by 8 undoes the multiplication by 8.
x=-\frac{y^{2}}{8}-\frac{5y}{4}+1
Divide -y^{2}-10y+8 by 8.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}