Solve x^2+7x+y=0

$${ x }^{ 2 } +7x+y=0$$

Solve for y

$$y=-x\left(x+7\right)$$

Solution Steps

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

$$7x+y=-x^{2}$$

Subtract 7x from both sides.

$$y=-x^{2}-7x$$

Solve for x (complex solution)

$$x=\frac{\sqrt{49-4y}-7}{2}$$

$$x=\frac{-\sqrt{49-4y}-7}{2}$$

Solve for x

$$x=\frac{\sqrt{49-4y}-7}{2}$$

$$x=\frac{-\sqrt{49-4y}-7}{2}\text{, }y\leq \frac{49}{4}$$