The standard form of a quadratic equation is
[tex]ax^{2}+bx+c=0[/tex],
where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.
In this case, the given equation is
[tex]5x^{2}+2=4x[/tex]
Since [tex]4x[/tex] is on the right side of the equation, we subtract that from both sides. The resulting equation is
[tex]5x^{2}-4x+2=0[/tex]
Looking at the standard form equation [tex]ax^{2}+bx+c=0[/tex], we can see that
[tex]a=5, b=-4, c=0[/tex]
