-43x^2=-44032

Solution for -43x^2=-44032 equation:

-43x^2=-44032

We move all terms to the left:

-43x^2-(-44032)=0

We add all the numbers together, and all the variables

-43x^2+44032=0

a = -43; b = 0; c = +44032;
Δ = b2-4ac
Δ = 02-4·(-43)·44032
Δ = 7573504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7573504}=2752$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2752}{2*-43}=\frac{-2752}{-86}
=+32
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2752}{2*-43}=\frac{2752}{-86}
=-32
$