Solve 8+2x+33x*6div9*6x+3-5y=100

$$8+2x+33x \times 6 \div 9 \times 6x+3-5y=100$$

Solve for y

$$y=\frac{132x^{2}+2x-89}{5}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

$$72+18x+33x\times 6\times 6x+27-45y=900$$

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

$$72+18x+33x^{2}\times 6\times 6+27-45y=900$$

Multiply 33 and 6 to get 198.

$$72+18x+198x^{2}\times 6+27-45y=900$$

Multiply 198 and 6 to get 1188.

$$72+18x+1188x^{2}+27-45y=900$$

Add 72 and 27 to get 99.

$$99+18x+1188x^{2}-45y=900$$

Subtract 99 from both sides.

$$18x+1188x^{2}-45y=900-99$$

Subtract 99 from 900 to get 801.

$$18x+1188x^{2}-45y=801$$

Subtract 18x from both sides.

$$1188x^{2}-45y=801-18x$$

Subtract 1188x^{2} from both sides.

$$-45y=801-18x-1188x^{2}$$

Divide both sides by -45.

$$\frac{-45y}{-45}=\frac{801-18x-1188x^{2}}{-45}$$

Dividing by -45 undoes the multiplication by -45.

$$y=\frac{801-18x-1188x^{2}}{-45}$$

Divide 801-18x-1188x^{2} by -45.

$$y=\frac{132x^{2}+2x-89}{5}$$

Solve for x (complex solution)

$$x=\frac{\sqrt{660y+11749}-1}{132}$$

$$x=\frac{-\sqrt{660y+11749}-1}{132}$$

Solve for x

$$x=\frac{\sqrt{660y+11749}-1}{132}$$

$$x=\frac{-\sqrt{660y+11749}-1}{132}\text{, }y\geq -\frac{11749}{660}$$