One of the solutions to the equation 5x^2+bx+12=0 is - 4/5. Find the other solution.

b=-19

Step-by-step explanation:

We know that one of the solutions is x=-4/5

That is a solution to x. So if we plug in (-4/5) into the x in the equation, then it should equal 0.

5 (-4/5) ^2+b (4/5) + 12=0

Now, just solve for b.

5 (16/25) + b (4/5) + 12=0

(16/5) + (4/5) b+12=0

(76/5) + (4/5) b=0

(4/5) b = - (76/5)

b=-19