Solve 36/xy*25=y/36x

$$\frac{ 36 }{ xy } \times 25= \frac{ y }{ 36x }$$

Solve for y

$$y=-180$$

$$y=180\text{, }x\neq 0$$

Steps by Finding Square Root

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 36xy, the least common multiple of xy,36x.

$$36\times 36\times 25=yy$$

Multiply y and y to get y^{2}.

$$36\times 36\times 25=y^{2}$$

Multiply 36 and 36 to get 1296.

$$1296\times 25=y^{2}$$

Multiply 1296 and 25 to get 32400.

$$32400=y^{2}$$

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

$$y^{2}=32400$$

Take the square root of both sides of the equation.

$$y=180 y=-180$$

Steps Using the Quadratic Formula

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 36xy, the least common multiple of xy,36x.

$$36\times 36\times 25=yy$$

Multiply y and y to get y^{2}.

$$36\times 36\times 25=y^{2}$$

Multiply 36 and 36 to get 1296.

$$1296\times 25=y^{2}$$

Multiply 1296 and 25 to get 32400.

$$32400=y^{2}$$

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

$$y^{2}=32400$$

Subtract 32400 from both sides.

$$y^{2}-32400=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -32400 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$y=\frac{0±\sqrt{0^{2}-4\left(-32400\right)}}{2}$$

Square 0.

$$y=\frac{0±\sqrt{-4\left(-32400\right)}}{2}$$

Multiply -4 times -32400.

$$y=\frac{0±\sqrt{129600}}{2}$$

Take the square root of 129600.

$$y=\frac{0±360}{2}$$

Now solve the equation y=\frac{0±360}{2} when ± is plus. Divide 360 by 2.

$$y=180$$

Now solve the equation y=\frac{0±360}{2} when ± is minus. Divide -360 by 2.

$$y=-180$$

The equation is now solved.

$$y=180 y=-180$$

Solve for x (complex solution)

$$x\neq 0$$

$$y=-180\text{ or }y=180$$

Solve for x

$$x\neq 0$$

$$|y|=180$$