Solve x^2-22xdiv117+x-13

$${ x }^{ 2 } -22x \div 117+x-13$$

Evaluate

$$x^{2}+\frac{95x}{117}-13$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2}+x-13 times \frac{117}{117}.

$$\frac{117\left(x^{2}+x-13\right)}{117}-\frac{22x}{117}$$

Since \frac{117\left(x^{2}+x-13\right)}{117} and \frac{22x}{117} have the same denominator, subtract them by subtracting their numerators.

$$\frac{117\left(x^{2}+x-13\right)-22x}{117}$$

Do the multiplications in 117\left(x^{2}+x-13\right)-22x.

$$\frac{117x^{2}+117x-1521-22x}{117}$$

Combine like terms in 117x^{2}+117x-1521-22x.

$$\frac{117x^{2}+95x-1521}{117}$$

Divide each term of 117x^{2}+95x-1521 by 117 to get -13+\frac{95}{117}x+x^{2}.

$$-13+\frac{95}{117}x+x^{2}$$

Factor

$$\left(x-\frac{-\sqrt{720853}-95}{234}\right)\left(x-\frac{\sqrt{720853}-95}{234}\right)$$