g^2-0.67g=7

Solution for g^2-0.67g=7 equation:

g^2-0.67g=7

We move all terms to the left:

g^2-0.67g-(7)=0

a = 1; b = -0.67; c = -7;
Δ = b2-4ac
Δ = -0.672-4·1·(-7)
Δ = 28.4489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.67)-\sqrt{28.4489}}{2*1}=\frac{0.67-\sqrt{28.4489}}{2}
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.67)+\sqrt{28.4489}}{2*1}=\frac{0.67+\sqrt{28.4489}}{2}
$