Answer:
a = 3
Step-by-step explanation:
-12x³+14x²+6x = -2x(ax+1)(2x-3)
Divide both sides by -2x(2x-3)
[tex]\frac{-2x(ax+1)(2x-3)}{-2x(2x-3)} = - \frac{12x^{3} }{-2x(2x-3)} + \frac{14x^{2} }{-2x(2x-3)} +\frac{6x}{-2x(2x-3)}[/tex]
ax+1=3x+1
Subtract 1 from both sides
ax=3x
Divide both sides by x
a=3