Question

Find the solutions to the equation below.
2x2 + 7x + 3 = 0

Answer 1

Answer: x=-1

Step-by-step explanation: 2 times 2 is 4 plus 7x plus 3. Move 4 and 3 over and you get negative 7. Divide by 7 and x=-1.

Answer 2

x = -1/2 and x = -3

Explanation:

2x² + 7x + 3 = 0

Using AC method:

2 × 3 = 6

Factors of 6 that add up to 7: 1 and 6

Divide by 2 and reduce: 1/2, 6/2 = 3/1

The factors are (2x + 1) and (x + 3)

(2x + 1) (x + 3) = 0

2x + 1 = 0

x = -1/2

x + 3 = 0

x = -3

The solutions are x = -1/2 and x = -3.