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

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:

$- 3 {x}^{2} = 6 x - 10 \text{ make it} = 0$

$0 = 3 {x}^{2} + 6 x - 10$

All the information we need is in the quadratic expression.

$3 \times 10 = 30$

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

Factors of 30$\rightarrow$ (difference)

$1 \times 30 \rightarrow \left(29\right)$
$2 \times 15 \rightarrow \left(13\right)$
$3 \times 10 \rightarrow \left(7\right)$
$5 \times 6 \rightarrow \left(1\right)$

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