SOLUTION: solve the equation (3m-6)^2 + 3(3m-6)-10=0 Thank you

Question 242799: solve the equation
(3m-6)^2 + 3(3m-6)-10=0
Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Let

Replace each '3m-6' with 'z'

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

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

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 in terms of z are or

Since , this means that or . Solving for 'm' gets us the final solutions

or
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