8a^2-4a-67=-7

Solution for 8a^2-4a-67=-7 equation:

8a^2-4a-67=-7

We move all terms to the left:

8a^2-4a-67-(-7)=0

We add all the numbers together, and all the variables

8a^2-4a-60=0

a = 8; b = -4; c = -60;
Δ = b2-4ac
Δ = -42-4·8·(-60)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-44}{2*8}=\frac{-40}{16}
=-2+1/2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+44}{2*8}=\frac{48}{16}
=3
$