What is the answer to 3w squared + 14w+8=0

3w² + 14w + 8 = 0

Multiply first and last coefficients: 3*8 = 24

We look for two numbers that multiply to give 24, and add to give the middle coefficient + 14

Those two numbers are 2 and 12.

Check: 2*12 = 24 2 + 12 = 14

We replace the middle term of 14w in the quadratic expression with 2w + 12w

3w² + 14w + 8 = 0

3w² + 2w + 12w + 8 = 0

w (3w + 2) + 4 (3w + 2) = 0

(3w + 2) (w + 4) = 0

3w + 2 = 0 or w + 4 = 0

3w = 0 - 2 w = 0 - 4

3w = - 2 w = - 4

w = - 2/3

The solutions are w = - 2/3 or - 4