(3w-3)w=7

Solution for (3w-3)w=7 equation:

(3w-3)w=7

We move all terms to the left:

(3w-3)w-(7)=0

We multiply parentheses

3w^2-3w-7=0

a = 3; b = -3; c = -7;
Δ = b2-4ac
Δ = -32-4·3·(-7)
Δ = 93
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{93}}{2*3}=\frac{3-\sqrt{93}}{6}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{93}}{2*3}=\frac{3+\sqrt{93}}{6}
$