w^2-70=3w

Solution for w^2-70=3w equation:

w^2-70=3w

We move all terms to the left:

w^2-70-(3w)=0

a = 1; b = -3; c = -70;
Δ = b2-4ac
Δ = -32-4·1·(-70)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-17}{2*1}=\frac{-14}{2}
=-7
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+17}{2*1}=\frac{20}{2}
=10
$