19w^2-30w+8=-6w^2

Solution for 19w^2-30w+8=-6w^2 equation:

19w^2-30w+8=-6w^2

We move all terms to the left:

19w^2-30w+8-(-6w^2)=0

We get rid of parentheses

19w^2+6w^2-30w+8=0

We add all the numbers together, and all the variables

25w^2-30w+8=0

a = 25; b = -30; c = +8;
Δ = b2-4ac
Δ = -302-4·25·8
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-10}{2*25}=\frac{20}{50}
=2/5
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+10}{2*25}=\frac{40}{50}
=4/5
$