SOLUTION: how do you solve the equation 4p^2-90=-9p?

Question 566230: how do you solve the equation 4p^2-90=-9p?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Get every term to the left side.

Rearrange the terms.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "p":

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or

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