SOLUTION: Find all solutions to the equation x^2 - 11x - 42 = -2x + 10 + x^2 + 17x - 13.

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Question 1209165: Find all solutions to the equation x^2 - 11x - 42 = -2x + 10 + x^2 + 17x - 13.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!



Rather elementary. The "x^2" terms on both sides cancel, leaving a linear equation which is solved using basic algebra.






ANSWER: x = -3/2
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Find all solutions to the equation x^2 - 11x - 42 = -2x + 10 + x^2 + 17x - 13.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Collect all the terms with x on the right side and combine like terms.


Collect all the constant terms on the left side and combine like terms.


You will get then


    -10 + 13 - 42 = x^2  - x^2 + 11x- 2x + 17x

        -39       =              26x


Divide both sides by 26.  You will get


    x = -39/26 = -3/2.    ANSWER

Solved.



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