SOLUTION: What is 4a^2-28a=-49?

Question 236636: What is 4a^2-28a=-49?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Add 49 to both sides.

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

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

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from 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 solution is

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