SOLUTION: Thank you for helping. I am trying to help my son with his final review. Solve: -3X^2-5x=4 There are no further directions, such as a method to use

Question 117601: Thank you for helping. I am trying to help my son with his final review.
Solve: -3X^2-5x=4
There are no further directions, such as a method to use
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Subtract 4 from both sides

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=-3, b=-5, and c=-4

Negate -5 to get 5

Square -5 to get 25 (note: remember when you square -5, you must square the negative as well. This is because .)

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and -3 to get -6

After simplifying, the quadratic has roots of
or
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