3w(8-2w)=13

Solution for 3w(8-2w)=13 equation:

3w(8-2w)=13

We move all terms to the left:

3w(8-2w)-(13)=0

We add all the numbers together, and all the variables

3w(-2w+8)-13=0

We multiply parentheses

-6w^2+24w-13=0

a = -6; b = 24; c = -13;
Δ = b2-4ac
Δ = 242-4·(-6)·(-13)
Δ = 264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{264}=\sqrt{4*66}=\sqrt{4}*\sqrt{66}=2\sqrt{66}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-2\sqrt{66}}{2*-6}=\frac{-24-2\sqrt{66}}{-12}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+2\sqrt{66}}{2*-6}=\frac{-24+2\sqrt{66}}{-12}
$