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Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$. If you find more than one value, then list your solutions, separated by commas.

 Sep 4, 2024
 #1
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                                     x^2 - 5x + 4 = -x^2 - 25x - 14    

 

combine like terms        2x2 + 20x +18  =  0    

 

divide by 2                      x2 + 10x + 9  =  0    

 

factor                              (x + 1)(x + 9)  =  0    

 

                                                 (x + 1)  =  0      ==>>  x = –1    

                                                 (x + 9)  =  0      ==>>  x = –9    

 

                                                         x  =  –1, –9   

.   

 Sep 4, 2024

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