Answer:
5x² + 2x - 15 = 0
Step-by-step explanation:
Given
[tex]\frac{6}{x}[/tex] = 2x + [tex]\frac{4}{5}[/tex]
Multiply through by 5x ( common denominator )
30 = 10x² + 4x ( subtract 30 from both sides )
0 = 10x² + 4x - 30 ( divide through by 2 )
0 = 5x² + 2x - 15 , that is
5x² + 2x - 15 = 0