SOLUTION: (x-3)(x-2)=(x+5)(2x-3)+21 Solve for the negative value of X.

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Question 211462: (x-3)(x-2)=(x+5)(2x-3)+21 Solve for the negative value of X.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


FOIL


Combine like terms.


Get every term to the left side.


Combine like terms.


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


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


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 solutions are or

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