Solve 16y(2-y)+(4y-5mv)=0

$$16 y ( 2 - y ) + ( 4 y - 5 m v ) = 0$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=\frac{4y\left(9-4y\right)}{5v}\text{, }&v\neq 0\\m\in \mathrm{C}\text{, }&\left(y=0\text{ or }y=\frac{9}{4}\right)\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16y by 2-y.

$$32y-16y^{2}+4y-5mv=0$$

Combine 32y and 4y to get 36y.

$$36y-16y^{2}-5mv=0$$

Subtract 36y from both sides. Anything subtracted from zero gives its negation.

$$-16y^{2}-5mv=-36y$$

Add 16y^{2} to both sides.

$$-5mv=-36y+16y^{2}$$

The equation is in standard form.

$$\left(-5v\right)m=16y^{2}-36y$$

Divide both sides by -5v.

$$\frac{\left(-5v\right)m}{-5v}=\frac{4y\left(4y-9\right)}{-5v}$$

Dividing by -5v undoes the multiplication by -5v.

$$m=\frac{4y\left(4y-9\right)}{-5v}$$

Divide 4y\left(-9+4y\right) by -5v.

$$m=-\frac{4y\left(4y-9\right)}{5v}$$

Solve for v (complex solution)

$$\left\{\begin{matrix}v=\frac{4y\left(9-4y\right)}{5m}\text{, }&m\neq 0\\v\in \mathrm{C}\text{, }&\left(y=0\text{ or }y=\frac{9}{4}\right)\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16y by 2-y.

$$32y-16y^{2}+4y-5mv=0$$

Combine 32y and 4y to get 36y.

$$36y-16y^{2}-5mv=0$$

Subtract 36y from both sides. Anything subtracted from zero gives its negation.

$$-16y^{2}-5mv=-36y$$

Add 16y^{2} to both sides.

$$-5mv=-36y+16y^{2}$$

The equation is in standard form.

$$\left(-5m\right)v=16y^{2}-36y$$

Divide both sides by -5m.

$$\frac{\left(-5m\right)v}{-5m}=\frac{4y\left(4y-9\right)}{-5m}$$

Dividing by -5m undoes the multiplication by -5m.

$$v=\frac{4y\left(4y-9\right)}{-5m}$$

Divide 4y\left(-9+4y\right) by -5m.

$$v=-\frac{4y\left(4y-9\right)}{5m}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{4y\left(9-4y\right)}{5v}\text{, }&v\neq 0\\m\in \mathrm{R}\text{, }&\left(y=0\text{ or }y=\frac{9}{4}\right)\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16y by 2-y.

$$32y-16y^{2}+4y-5mv=0$$

Combine 32y and 4y to get 36y.

$$36y-16y^{2}-5mv=0$$

Subtract 36y from both sides. Anything subtracted from zero gives its negation.

$$-16y^{2}-5mv=-36y$$

Add 16y^{2} to both sides.

$$-5mv=-36y+16y^{2}$$

The equation is in standard form.

$$\left(-5v\right)m=16y^{2}-36y$$

Divide both sides by -5v.

$$\frac{\left(-5v\right)m}{-5v}=\frac{4y\left(4y-9\right)}{-5v}$$

Dividing by -5v undoes the multiplication by -5v.

$$m=\frac{4y\left(4y-9\right)}{-5v}$$

Divide 4y\left(-9+4y\right) by -5v.

$$m=-\frac{4y\left(4y-9\right)}{5v}$$

Solve for v

$$\left\{\begin{matrix}v=\frac{4y\left(9-4y\right)}{5m}\text{, }&m\neq 0\\v\in \mathrm{R}\text{, }&\left(y=0\text{ or }y=\frac{9}{4}\right)\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16y by 2-y.

$$32y-16y^{2}+4y-5mv=0$$

Combine 32y and 4y to get 36y.

$$36y-16y^{2}-5mv=0$$

Subtract 36y from both sides. Anything subtracted from zero gives its negation.

$$-16y^{2}-5mv=-36y$$

Add 16y^{2} to both sides.

$$-5mv=-36y+16y^{2}$$

The equation is in standard form.

$$\left(-5m\right)v=16y^{2}-36y$$

Divide both sides by -5m.

$$\frac{\left(-5m\right)v}{-5m}=\frac{4y\left(4y-9\right)}{-5m}$$

Dividing by -5m undoes the multiplication by -5m.

$$v=\frac{4y\left(4y-9\right)}{-5m}$$

Divide 4y\left(-9+4y\right) by -5m.

$$v=-\frac{4y\left(4y-9\right)}{5m}$$