What is an example of factoring equation?

Answer 1

Examplex2 + 3x = 8x - 6

Step 1The first step is to move all terms to the left using addition and subtraction. First, we will subtract 8x from each side.x2 + 3x - 8x = 8x - 8x - 6

x2 - 5x = -6

Now, we will add 6 to each side.x2 - 5x + 6 = -6 + 6

x2 - 5x + 6 = 0.

With all terms on the left side, we proceed to Step 2.

Step 2We identify the left as a trinomial, and factor it accordingly:(x - 2)(x - 3) = 0

We now have two factors, (x - 2) and (x - 3).

Step 3We now set each factor equal to zero. The result is two subproblems:x - 2 = 0

andx - 3 = 0

Solving the first subproblem, x - 2 = 0, gives x = 2. Solving the second subproblem, x - 3 = 0, gives x = 3.

Step 4The final step is to combine the two previous solutions, x = 2 and x = 3, into one solution for the original problem.x2 + 3x = 8x - 6

x = 2, 3