can anyone show me steps in solving for x

Question

-49x^2 + 4606x - 52,000 = 42,080

thank you

Answer 1

Start by setting the equation equal to 0:

0 = 49x^2 - 4606x + 52000 + 42080

0 = 49x^2 - 4606x + 94080

Dividing each term by 49, we have:

0 = x^2 - 94x + 1920

This will factor easily:

0 = (x - 64)(x - 30)

Set each factor equal to 0:

x - 64 = 0; x = 64
x - 30 = 0; x = 30

These are your two possible solutions for x.

I hope this helps.