0=-14x^2+1400x-12600

Solution for 0=-14x^2+1400x-12600 equation:

0=-14x^2+1400x-12600

We move all terms to the left:

0-(-14x^2+1400x-12600)=0

We add all the numbers together, and all the variables

-(-14x^2+1400x-12600)=0

We get rid of parentheses

14x^2-1400x+12600=0

a = 14; b = -1400; c = +12600;
Δ = b2-4ac
Δ = -14002-4·14·12600
Δ = 1254400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1254400}=1120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1400)-1120}{2*14}=\frac{280}{28}
=10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1400)+1120}{2*14}=\frac{2520}{28}
=90
$