36w^2=2-71w

Solution for 36w^2=2-71w equation:

36w^2=2-71w

We move all terms to the left:

36w^2-(2-71w)=0

We add all the numbers together, and all the variables

36w^2-(-71w+2)=0

We get rid of parentheses

36w^2+71w-2=0

a = 36; b = 71; c = -2;
Δ = b2-4ac
Δ = 712-4·36·(-2)
Δ = 5329
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5329}=73$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(71)-73}{2*36}=\frac{-144}{72}
=-2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(71)+73}{2*36}=\frac{2}{72}
=1/36
$