+128407 If y + 1 = 2015 ....then y = 2014
And we are asked to find w such that......
2(2014)^2 + 2(2014) = 2015w ...... rewrite as
2(2014)^2 + 2(2014) = (2014 + 1)w .... simplify
2(2014)^2 + 2(2014) = 2014w + w ..... and notice that......if we let w = 2*2014, we have
2(2014)^2 + 2(2014) = 2014(2*2014) + 2(2014)
2(2014)^2 + 2(2014) = 2(2014)^2 + 2(2014).....so w = 2*2014 = 4028
+128407 If y + 1 = 2015 ....then y = 2014
And we are asked to find w such that......
2(2014)^2 + 2(2014) = 2015w ...... rewrite as
2(2014)^2 + 2(2014) = (2014 + 1)w .... simplify
2(2014)^2 + 2(2014) = 2014w + w ..... and notice that......if we let w = 2*2014, we have
2(2014)^2 + 2(2014) = 2014(2*2014) + 2(2014)
2(2014)^2 + 2(2014) = 2(2014)^2 + 2(2014).....so w = 2*2014 = 4028
