8a2-16a=6a-12

Solution for 8a2-16a=6a-12 equation:

8a^2-16a=6a-12

We move all terms to the left:

8a^2-16a-(6a-12)=0

We get rid of parentheses

8a^2-16a-6a+12=0

We add all the numbers together, and all the variables

8a^2-22a+12=0

a = 8; b = -22; c = +12;
Δ = b2-4ac
Δ = -222-4·8·12
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-10}{2*8}=\frac{12}{16}
=3/4
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+10}{2*8}=\frac{32}{16}
=2
$