Solve 5+x^2=(x+1)(x+6)

$$5+ { x }^{ 2 } =(x+1)(x+6)$$

Solve for x

$$x=-\frac{1}{7}\approx -0.142857143$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+1 by x+6 and combine like terms.

$$5+x^{2}=x^{2}+7x+6$$

Subtract x^{2} from both sides.

$$5+x^{2}-x^{2}=7x+6$$

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

$$5=7x+6$$

Swap sides so that all variable terms are on the left hand side.

$$7x+6=5$$

Subtract 6 from both sides.

$$7x=5-6$$

Subtract 6 from 5 to get -1.

$$7x=-1$$

Divide both sides by 7.

$$x=\frac{-1}{7}$$

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

$$x=-\frac{1}{7}$$