What is the answer to 2x squared + 7x+3=0

2x^2 + 7x + 3 = 0

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

2x+1 = 0 x + 3 = 0

2x = - 1 x = - 3

x = - 1/2

x = - 1/2 and - 1

2x² + 7x + 3 = 0

Multiply first and last coefficients: 2*3 = 6

We look for two numbers that multiply to give 6, and add to give 7

Those two numbers are 1 and 6.

Check: 6*1 = 6 6 + 1 = 7

We replace the middle term of + 7x in the quadratic expression with 1x + 6x

2x² + 7x + 3 = 0

2x² + 1x + 6x + 3 = 0

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

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

2x + 1 = 0 or x + 3 = 0

2x = 0 - 1 x = 0 - 3

2x = - 1 x = - 3

x = - 1/2

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