# How do you solve #(6x) /(x+4) + 4 = (2x + 2) /(x - 1)#?

##### 1 Answer

#### Explanation:

## Information

In equations, you are allowed to perform operations on both sides. In order to get rid of denominators, you can multiply by the denominator on both sides. Since a number divided by itself is 1, except for 0, this removes the fraction and leaves the numerator.

The product-sum method can be used to find values of

If you find two values whose sum is

Note that you can use the quadratic formula in all cases where the product-sum method is applicable, but it is much faster in a lot of cases to use this.

## Calculation

Multiply both sides by

Multiply both sides by

Make the right side equal to 0 by subtracting everything on the right side from both sides.

Divide both sides by 8.

Use the product-sum method to find

The numbers

So,

Neither of these values makes a division by zero when filled back into the equation, so they're both valid.