How do you solve -3x^2=2(3x-5) using the factoring method?

1 Answer
Aug 24, 2016

There are no factors which give -6.
Therefore, this equation cannot be solved using the factor method.

Explanation:

First simplify and get rid of the brackets:

-3x^2 = 6x-10" make it" = 0

0 = 3x^2+6x-10

All the information we need is in the quadratic expression.

3xx10 = 30

Find factors of 30 which subtract to make 6.
The signs will be different and there are more positives.

Factors of 30rarr (difference)

1xx30 rarr(29)
2xx15rarr(13)
3xx10rarr(7)
5xx6rarr(1)

There are no factors which give 6.
Therefore, this equation cannot be solved using the factor method.