Changes made to your input should not affect the solution:
(1): "d2" was replaced by "d^2".
STEP 1 : Equation at the end of step 1
(2d2 - 3d) - 2 STEP 2 : Trying to factor by splitting the middle term
2.1 Factoring 2d2-3d-2
The first term is, 2d2 its coefficient is 2 . The middle term is, -3d its coefficient is -3 . The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1 2d2 - 4d + 1d - 2
Step-4 : Add up the first 2 terms, pulling out like factors : 2d • (d-2) Add up the last 2 terms, pulling out common factors : 1 • (d-2) Step-5 : Add up the four terms of step 4 : (2d+1) • (d-2) Which is the desired factorization
