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

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

Solve for x

$$x = -\frac{5}{4} = -1\frac{1}{4} = -1.25$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides.

$$x^{2}+5x+6-x^{2}=x+1$$

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

$$5x+6=x+1$$

Subtract x from both sides.

$$5x+6-x=1$$

Combine 5x and -x to get 4x.

$$4x+6=1$$

Subtract 6 from both sides.

$$4x=1-6$$

Subtract 6 from 1 to get -5.

$$4x=-5$$

Divide both sides by 4.

$$x=\frac{-5}{4}$$

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$x=-\frac{5}{4}$$