10w^2-30w-700=0

Solution for 10w^2-30w-700=0 equation:

10w^2-30w-700=0

a = 10; b = -30; c = -700;
Δ = b2-4ac
Δ = -302-4·10·(-700)
Δ = 28900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28900}=170$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-170}{2*10}=\frac{-140}{20}
=-7
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+170}{2*10}=\frac{200}{20}
=10
$