SOLUTION: Factor out x squared + 2x = 6 - 6x

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Question 369780: Factor out x squared + 2x = 6 - 6x
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!
This should be the equation you are asking about:

x%5E2%2B2x=6-6x

If so, here is how we would proceed:

x%5E2%2B2x=6-6x

x%5E2%2B8x-6=0

Unfortunately, there is no way to factor this polynomial!

This is because there are no factors of -6 which add up to +8.

You can solve for x using the Quadratic Formula, but you can not factor this polynomial the usual ways to solve for x.

You can see the graph of this equation and some other information below.

I hope this helps, please resubmit the question if the original equation is not exactly what you meant.

Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B8x%2B-6+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%288%29%5E2-4%2A1%2A-6=88.

Discriminant d=88 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-8%2B-sqrt%28+88+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%288%29%2Bsqrt%28+88+%29%29%2F2%5C1+=+0.69041575982343
x%5B2%5D+=+%28-%288%29-sqrt%28+88+%29%29%2F2%5C1+=+-8.69041575982343

Quadratic expression 1x%5E2%2B8x%2B-6 can be factored:
1x%5E2%2B8x%2B-6+=+1%28x-0.69041575982343%29%2A%28x--8.69041575982343%29
Again, the answer is: 0.69041575982343, -8.69041575982343. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B8%2Ax%2B-6+%29