Algebra

 

Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$   

 

 

rearrange terms for clarity              (3x² – 2x² + 5x²) + (17x – 21x – 17x) + (15 – 12 – 34)  =  0   

 

combine like terms                          6x² – 21x – 31  =  0   

 

A parabola that opens upward has no largest value.   

_.