The equation is .

Apply difference of the squares form: .

To find the LCD of left side denominators.

First denominator : .

Second denominator : .

Then LCD is .

So rewrite .

Left side denominators are same and add numerators.

Apply distributive property: .

Apply cross product property: .

Subtract from each side.

Group terms with common factors. \ \

Factors the grouping terms.

Take out common term .

\ \ Apply zero product property: If then a = 0 (or) b = 0.

Solve for first factor .

Apply subtraction property of equality: If a = b then .

Subtract 4 from each side.

Solve for second factor .

Apply addition property of equality: If a = b then a + c = b + c.

Add 3 to each side.

The roots are 4, and 1. \ \