Solve -5+sqrt{25-4*4*-636}x/76

$$-5+ \sqrt{ 25-4 \times 4 \times -636 } \frac{ x }{ 76 }$$

Evaluate

$$\frac{101x}{76}-5$$

Short Solution Steps

Multiply 4 and 4 to get 16.

$$-5+\sqrt{25-16\left(-636\right)}\times \frac{x}{76}$$

Multiply 16 and -636 to get -10176.

$$-5+\sqrt{25-\left(-10176\right)}\times \frac{x}{76}$$

The opposite of -10176 is 10176.

$$-5+\sqrt{25+10176}\times \frac{x}{76}$$

Add 25 and 10176 to get 10201.

$$-5+\sqrt{10201}\times \frac{x}{76}$$

Calculate the square root of 10201 and get 101.

$$-5+101\times \frac{x}{76}$$

Express 101\times \frac{x}{76} as a single fraction.

$$-5+\frac{101x}{76}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -5 times \frac{76}{76}.

$$-\frac{5\times 76}{76}+\frac{101x}{76}$$

Since -\frac{5\times 76}{76} and \frac{101x}{76} have the same denominator, add them by adding their numerators.

$$\frac{-5\times 76+101x}{76}$$

Do the multiplications in -5\times 76+101x.

$$\frac{-380+101x}{76}$$

Factor

$$\frac{101x-380}{76}$$

Solution Steps

Factor out \frac{1}{76}.

$$\frac{-380+101x}{76}$$