The equation is .

Rewrite the equation .

Group terms with common factors.

Factor the G.C.F from each grouping.

Combine like terms using distributive property: .

Apply zero product property: If ab = 0 then a = 0, b = 0.

First .

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

Add 7 to each side.

Apply additive inverse property: .

Divide each side by 5.

Second .

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

Add 1 to each side.

Apply additive inverse property: .

Divide each side by 23.

Check:

To check the solution substitute  in .

The first solution is true.

To check the solution substitute  in .

The second solution is true.

The values of .