Answer: The equivalent equation is 4(2x - 3y +8)=0Step-by-step explanation:This problem seeks to test our idea on factorization Step one :Given the expression expression 8x - 12y +32 To find an expression equivalent to it we need to look for a common factor of all the terms in the equationStep two From inspection the common factor is 4So pulling 4 out from all the terms we have Step three 4(2x - 3y +8)=0which is equivalent to the original equation 8x - 12y +32