Solve n^2-5n-50=(n+5)(n-15)

$$n ^ { 2 } - 5 n - 50 = ( n + 5 ) ( n - 15 )$$

Solve for n

$$n=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply n+5 by n-15 and combine like terms.

$$n^{2}-5n-50=n^{2}-10n-75$$

Subtract n^{2} from both sides.

$$n^{2}-5n-50-n^{2}=-10n-75$$

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

$$-5n-50=-10n-75$$

Add 10n to both sides.

$$-5n-50+10n=-75$$

Combine -5n and 10n to get 5n.

$$5n-50=-75$$

Add 50 to both sides.

$$5n=-75+50$$

Add -75 and 50 to get -25.

$$5n=-25$$

Divide both sides by 5.

$$n=\frac{-25}{5}$$

Divide -25 by 5 to get -5.

$$n=-5$$