Solve -4*y^2/asqrt{61}=777

$$- 4 \times y ^ { 2 } / a \sqrt { 61 } = 777$$

Solve for a

$$a=-\frac{4\sqrt{61}y^{2}}{777}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.

$$-4y^{2}\sqrt{61}=777a$$

Swap sides so that all variable terms are on the left hand side.

$$777a=-4y^{2}\sqrt{61}$$

The equation is in standard form.

$$777a=-4\sqrt{61}y^{2}$$

Divide both sides by 777.

$$\frac{777a}{777}=-\frac{4\sqrt{61}y^{2}}{777}$$

Dividing by 777 undoes the multiplication by 777.

$$a=-\frac{4\sqrt{61}y^{2}}{777}$$

Variable a cannot be equal to 0.

$$a=-\frac{4\sqrt{61}y^{2}}{777}\text{, }a\neq 0$$

Solve for y (complex solution)

$$y=-\frac{\sqrt[4]{137035012149}i\sqrt{a}}{122}$$

$$y=\frac{\sqrt[4]{137035012149}i\sqrt{a}}{122}\text{, }a\neq 0$$

Solve for y

$$y=\frac{\sqrt[4]{137035012149}\sqrt{-a}}{122}$$

$$y=-\frac{\sqrt[4]{137035012149}\sqrt{-a}}{122}\text{, }a<0$$