Solve x^2+6x+5-2y=-2y-9y

$$x ^ { 2 } + 6 x + 5 - 2 y = - 2 y - 9 y$$

Solve for y

$$y=-\frac{\left(x+1\right)\left(x+5\right)}{9}$$

Steps for Solving Linear Equation

Combine -2y and -9y to get -11y.

$$x^{2}+6x+5-2y=-11y$$

Add 11y to both sides.

$$x^{2}+6x+5-2y+11y=0$$

Combine -2y and 11y to get 9y.

$$x^{2}+6x+5+9y=0$$

Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.

$$6x+5+9y=-x^{2}$$

Subtract 6x from both sides.

$$5+9y=-x^{2}-6x$$

Subtract 5 from both sides.

$$9y=-x^{2}-6x-5$$

Divide both sides by 9.

$$\frac{9y}{9}=-\frac{\left(x+1\right)\left(x+5\right)}{9}$$

Dividing by 9 undoes the multiplication by 9.

$$y=-\frac{\left(x+1\right)\left(x+5\right)}{9}$$

Solve for x (complex solution)

$$x=\sqrt{4-9y}-3$$

$$x=-\sqrt{4-9y}-3$$

Solve for x

$$x=\sqrt{4-9y}-3$$

$$x=-\sqrt{4-9y}-3\text{, }y\leq \frac{4}{9}$$