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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find all solutions to the equation x^2 - 11x - 42 = -2x + 10 + x^2 + 17x - 13.      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!


x%5E2+-+11x+-+42+=+-2x+%2B+10+%2B+x%5E2+%2B+17x+-+13
Rather elementary. The "x^2" terms on both sides cancel, leaving a linear equation which is solved using basic algebra.

-11x-42=-2x%2B10%2B17x-13
-11x-42=15x-3
-39=26x
x=-39%2F26=-3%2F2

ANSWER: x = -3/2

Answer by ikleyn(52781) About Me  (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.