To solve the quadratic formula, we use the next form:
[tex]ax^2+bx+c[/tex]Now, we have the next equation given:
[tex]6x^2+4x-3=0[/tex]Therefore,
a=6
b=4
c=-1
The equation formula is given by the next :
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]Replacing the variables:
[tex]x=\frac{-(4)\pm\sqrt[]{(4)^2-4(6)(-3)}}{2(6)}[/tex]Solving:
[tex]x=\frac{-4\pm\sqrt[]{16+72}}{12}[/tex][tex]x=\frac{-4\pm\sqrt[]{88}}{12}[/tex]