Solve k^2+5k+6=(k+2)(k+11)

$$k ^ { 2 } + 5 k + 6 = ( k + 2 ) ( k + 11 )$$

Solve for k

$$k=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply k+2 by k+11 and combine like terms.

$$k^{2}+5k+6=k^{2}+13k+22$$

Subtract k^{2} from both sides.

$$k^{2}+5k+6-k^{2}=13k+22$$

Combine k^{2} and -k^{2} to get 0.

$$5k+6=13k+22$$

Subtract 13k from both sides.

$$5k+6-13k=22$$

Combine 5k and -13k to get -8k.

$$-8k+6=22$$

Subtract 6 from both sides.

$$-8k=22-6$$

Subtract 6 from 22 to get 16.

$$-8k=16$$

Divide both sides by -8.

$$k=\frac{16}{-8}$$

Divide 16 by -8 to get -2.

$$k=-2$$