How do you factor 2x^2 - 9x + 5 = -4?

Jul 29, 2017

See a solution process below:

Explanation:

First, add $\textcolor{red}{4}$ to each side of the equation to isolate put the equation into standard form:

$2 {x}^{2} - 9 x + 5 + \textcolor{red}{4} = - 4 + \textcolor{red}{4}$

$2 {x}^{2} - 9 x + 9 = 0$

Now, by playing with the factors of 2 (2 x 1) and $9$ (1 x 9, 3 x 3) we can factor this equation as:

$\left(2 x - 3\right) \left(x - 3\right) = 0$