To check if the solution is correct, we will substitute it into the original equation and simplify. If the left-hand side and right-hand side are equal, the solution is correct.
We are given the following equation with variable m.
(m+2)(m+3) = (m+2)(m-2)
Note that the left-hand side and right-hand side are both products where (m+2) is a factor on both sides. By dividing by (m+2), we can cancel out this factor.
(m+2)(m+3)/(m+2)=(m+2)(m-2)/(m+2)
However, we have to be very careful. When we divide with something containing a variable, we automatically exclude any values of m that results in a division of 0. Therefore, we will not solve the equation this way. Let's instead multiply the parentheses in the given equation.
