0=-10x^2+70x+14700

Solution for 0=-10x^2+70x+14700 equation:

0=-10x^2+70x+14700

We move all terms to the left:

0-(-10x^2+70x+14700)=0

We add all the numbers together, and all the variables

-(-10x^2+70x+14700)=0

We get rid of parentheses

10x^2-70x-14700=0

a = 10; b = -70; c = -14700;
Δ = b2-4ac
Δ = -702-4·10·(-14700)
Δ = 592900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{592900}=770$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-770}{2*10}=\frac{-700}{20}
=-35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+770}{2*10}=\frac{840}{20}
=42
$