Given data:
The given expression is 4a(2a+1)-7a=4-3.
The given expression can be written as,
[tex]\begin{gathered} 4a(2a+1)-7a=4-3 \\ 8a^2+4a-7a=1 \\ 8a^2-3a-1=0 \\ a=\frac{+3\pm\sqrt[]{(-3)^2-4(8)(-1)}}{2(8)} \\ =\frac{+3\pm\sqrt[]{41}}{16} \\ =0.5877,\text{ -0.2127} \end{gathered}[/tex]Thus, the value of a are 0.5877, -0.2127.
