7g(7g=6)

Solution for 7g(7g=6) equation:

7g(7g=6)

We move all terms to the left:

7g(7g-(6))=0

We multiply parentheses

49g^2-42g=0

a = 49; b = -42; c = 0;
Δ = b2-4ac
Δ = -422-4·49·0
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-42)-42}{2*49}=\frac{0}{98}
=0
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42)+42}{2*49}=\frac{84}{98}
=6/7
$