Solve 4x=y-50*sqrt{0,4*y+36}

$$4 x = y - 50 \cdot \sqrt { 0,4 \cdot y + 36 }$$

Solve for x

$$x=\frac{y-50\sqrt{\frac{2y}{5}+36}}{4}$$

$$y\geq -90$$

Steps for Solving Linear Equation

Multiply -1 and 50 to get -50.

$$4x=y-50\sqrt{0,4y+36}$$

The equation is in standard form.

$$4x=y-50\sqrt{\frac{2y}{5}+36}$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{y-50\sqrt{\frac{2y}{5}+36}}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{y-50\sqrt{\frac{2y}{5}+36}}{4}$$

Divide y-50\sqrt{\frac{2y}{5}+36} by 4.

$$x=\frac{y}{4}-\frac{5\sqrt{10y+900}}{2}$$

Solve for y

$$\left\{\begin{matrix}y=4\left(x+5\sqrt{10\left(x+85\right)}+125\right)\text{, }&x\geq -85\\y=4\left(x-5\sqrt{10\left(x+85\right)}+125\right)\text{, }&x\geq -85\text{ and }x\leq -\frac{45}{2}\end{matrix}\right.$$