7w2=13w

Solution for 7w2=13w equation:

7w^2=13w

We move all terms to the left:

7w^2-(13w)=0

a = 7; b = -13; c = 0;
Δ = b2-4ac
Δ = -132-4·7·0
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-13}{2*7}=\frac{0}{14}
=0
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+13}{2*7}=\frac{26}{14}
=1+6/7
$