Solve for y
y=-\frac{x\left(2x+5\right)}{8}
Solve for x (complex solution)
x=\frac{-\sqrt{25-64y}-5}{4}
x=\frac{\sqrt{25-64y}-5}{4}
Solve for x
x=\frac{-\sqrt{25-64y}-5}{4}
x=\frac{\sqrt{25-64y}-5}{4}\text{, }y\leq \frac{25}{64}
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-2x^{2}-5x-6y-2y=0
Subtract 2y from both sides.
-2x^{2}-5x-8y=0
Combine -6y and -2y to get -8y.
-5x-8y=2x^{2}
Add 2x^{2} to both sides. Anything plus zero gives itself.
-8y=2x^{2}+5x
Add 5x to both sides.
\frac{-8y}{-8}=\frac{x\left(2x+5\right)}{-8}
Divide both sides by -8.
y=\frac{x\left(2x+5\right)}{-8}
Dividing by -8 undoes the multiplication by -8.
y=-\frac{x\left(2x+5\right)}{8}
Divide x\left(5+2x\right) 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}