8a^2=-2a+6

Solution for 8a^2=-2a+6 equation:

8a^2=-2a+6

We move all terms to the left:

8a^2-(-2a+6)=0

We get rid of parentheses

8a^2+2a-6=0

a = 8; b = 2; c = -6;
Δ = b2-4ac
Δ = 22-4·8·(-6)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-14}{2*8}=\frac{-16}{16}
=-1
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+14}{2*8}=\frac{12}{16}
=3/4
$