Answer: x = 5/2 or x = -1
Explanation:
2x² - 3x - 5 = 0
↓ You split the middle term into 2 terms
2x² - 5x + 2x - 5 = 0
↓ Then factor the first 2 terms and last two terms separately
x(2x - 5) + (2x - 5) = 0
↓ And you factor it out
(2x - 5)(x + 1) = 0
↓ Then you have to apply the zero product property
2x - 5 = 0 or x + 1 = 0
↓ Rearrange variables to the left side of the equation
2x = 5
↓ Then divide both sides of the equation by the coefficient of variable
x = 5/2
or -------------------------------------------------------------
x + 1 = 0
↓ Rearrange variables to the left side of the equation
x = -1