Solve x^2-1/9-x^2-x-1/4+x^2

$$x ^ { 2 } - \frac { 1 } { 9 } - x ^ { 2 } - x - \frac { 1 } { 4 } + x ^ { 2 }$$

Evaluate

$$x^{2}-x-\frac{13}{36}$$

Solution Steps

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

$$-\frac{1}{9}-x-\frac{1}{4}+x^{2}$$

Subtract \frac{1}{4} from -\frac{1}{9} to get -\frac{13}{36}.

$$-\frac{13}{36}-x+x^{2}$$

Factor

$$\left(x-\left(-\frac{\sqrt{22}}{6}+\frac{1}{2}\right)\right)\left(x-\left(\frac{\sqrt{22}}{6}+\frac{1}{2}\right)\right)$$