x^2-3690=2940-24.4x

Solution for x^2-3690=2940-24.4x equation:

x^2-3690=2940-24.4x

We move all terms to the left:

x^2-3690-(2940-24.4x)=0

We add all the numbers together, and all the variables

x^2-(-24.4x+2940)-3690=0

We get rid of parentheses

x^2+24.4x-2940-3690=0

We add all the numbers together, and all the variables

x^2+24.4x-6630=0

a = 1; b = 24.4; c = -6630;
Δ = b2-4ac
Δ = 24.42-4·1·(-6630)
Δ = 27115.36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24.4)-\sqrt{27115.36}}{2*1}=\frac{-24.4-\sqrt{27115.36}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24.4)+\sqrt{27115.36}}{2*1}=\frac{-24.4+\sqrt{27115.36}}{2}
$