Solve this equations for all real solutions 3t^2+4t+8=-6t

t = - 1.33 recurring and - 2

Step-by-step explanation:

3t²+4t+8=-6t

3t²+4t+6t+8

3t²+10t+8

This is a quadratic equation, it can be solved by using either factorisation, completing the square method or formulae method. For the purpose of this question, I would be using the formulae method.

-b±√ (b²-4ac) / 2a

Where a=3, b = 10 and c=8

-10±√ (10²-4 (3) (8)) / 2 (3)

-10±√ (100-96) / 6

(-10±√4) / 6

(-10±2) / 6

-10+2/6 or - 10-2/6

-8/6 or - 12/6

-1.3333 recurring or - 2