Solve (2x)^2+3y/60=450

$$\frac { ( 2 x ) ^ { 2 } + 3 y } { 60 } = 450$$

Solve for y

$$y=-\frac{4x^{2}}{3}+9000$$

Steps for Solving Linear Equation

Multiply both sides by 60.

$$\left(2x\right)^{2}+3y=450\times 60$$

Expand \left(2x\right)^{2}.

$$2^{2}x^{2}+3y=450\times 60$$

Calculate 2 to the power of 2 and get 4.

$$4x^{2}+3y=450\times 60$$

Multiply 450 and 60 to get 27000.

$$4x^{2}+3y=27000$$

Subtract 4x^{2} from both sides.

$$3y=27000-4x^{2}$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{27000-4x^{2}}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{27000-4x^{2}}{3}$$

Divide 27000-4x^{2} by 3.

$$y=-\frac{4x^{2}}{3}+9000$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{27000-3y}}{2}$$

$$x=\frac{\sqrt{27000-3y}}{2}$$

Solve for x

$$x=\frac{\sqrt{27000-3y}}{2}$$

$$x=-\frac{\sqrt{27000-3y}}{2}\text{, }y\leq 9000$$