Equation at the end of step 1 : (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0 Step 2 :Step 3 :Pulling out like terms : 3.1 Pull out like factors :
-3x3y7 + x3y - 6y = -y • (3x3y6 - x3 + 6)
Trying to factor a multi variable polynomial : 3.2 Factoring 3x3y6 - x3 + 6
Try to factor this multi-variable trinomial using trial and error
Factorization failsEquation at the end of step 3 : -y • (3x3y6 - x3 + 6) = 0 Step 4 :Theory - Roots of a product : 4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.Solving a Single Variable Equation : 4.2 Solve : -y = 0
Multiply both sides of the equation by (-1) : y = 0