Question

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

Answer 1

See a solution process below:

Explanation:

First, add `color(red)(4)` to each side of the equation to isolate put the equation into standard form:

`2x^2 - 9x + 5 + color(red)(4) = -4 + color(red)(4)`

`2x^2 - 9x + 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:

`(2x - 3)(x - 3) = 0`