Solve x^2-x+x^2-1/144-1/4-1/16=

$$x ^ { 2 } - x + x ^ { 2 } - \frac { 1 } { 144 } - \frac { 1 } { 4 } - \frac { 1 } { 16 } =$$

Evaluate

$$2x^{2}-x-\frac{23}{72}$$

Solution Steps

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

$$2x^{2}-x-\frac{1}{144}-\frac{1}{4}-\frac{1}{16}$$

Subtract \frac{1}{4} from -\frac{1}{144} to get -\frac{37}{144}.

$$2x^{2}-x-\frac{37}{144}-\frac{1}{16}$$

Subtract \frac{1}{16} from -\frac{37}{144} to get -\frac{23}{72}.

$$2x^{2}-x-\frac{23}{72}$$

Factor

$$2\left(x-\left(-\frac{\sqrt{2}}{3}+\frac{1}{4}\right)\right)\left(x-\left(\frac{\sqrt{2}}{3}+\frac{1}{4}\right)\right)$$