The equation is .

To find the GCF in above binomial expression .

Factors of 50: 2, 5, 10, 25, 50.

Factors of : 2, 4, 8, a, a².

Then the G.C.F is 2.

Combine like terms using distributive property: .

Apply difference of squares formula: .

Apply zero product property: If then .

First term is .

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

Subtract 5 from each side. 

Apply additive inverse property: .

Divide each side by 2.

Check:

To check the first solution substitute  in .

Then the first solution is "true".

Second term is .

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

Add 2a to each side.

Apply additive inverse property: .

Divide each side by 2.

Check:

To check the first solution substitute  in .

Then the first solution is "true".

The solution are and .