Hello there,
The equation that we have to factor is as follows:
2x² + 3x - 54
In order to factor this we first multiply (-54) by 2 and try to find two factor pairs that can be add up to 3.
For this we would use 12 * -9 which gives you -108 when multiplied and when added you would get 3.
2x² + 12x - 9x -54
2x(x + 6) -9(x +6)
(2x - 9) (x + 6)
Now the factor pairs would be: (2x - 9)(x + 6)
Hope I helped,
Amna