0=6w^2+7w-25

Solution for 0=6w^2+7w-25 equation:

0=6w^2+7w-25

We move all terms to the left:

0-(6w^2+7w-25)=0

We add all the numbers together, and all the variables

-(6w^2+7w-25)=0

We get rid of parentheses

-6w^2-7w+25=0

a = -6; b = -7; c = +25;
Δ = b2-4ac
Δ = -72-4·(-6)·25
Δ = 649
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{-(-7)-\sqrt{649}}{2*-6}=\frac{7-\sqrt{649}}{-12}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{649}}{2*-6}=\frac{7+\sqrt{649}}{-12}
$