Answer:
x = 1/2 ; x = -3
Step-by-step explanation:
To solve this problem, we first need the quadratic to be set equal to x. Then, we can use factoring to solve for the values of x.
2x^2 + 5x = 3
2x^2 + 5x + -3 = 3 + -3
2x^2 + 5x + -3 = 0
Note that the first term's coefficient is 2. This factors into 1 and 2.
Note that the third term's coefficient is -3. This factors into 3 and -1.
From here, we will simply create the binomial factors for the quadratic.
(2x - 1) (x + 3) = 0
2x - 1 = 0 ; x + 3 = 0
2x - 1 + 1 = 0 + 1 ; x + 3 + -3 = 0 + -3
2x = 1 ; x = -3
2x * 1/2 = 1 * 1/2 ; x = -3
x = 1/2 ; x = -3
So our solutions for this quadratic equation are x = 1/2 or x = -3.
Cheers.
