80000(x)(2)=90000

Solution for 80000(x)(2)=90000 equation:

80000(x)(2)=90000

We move all terms to the left:

80000(x)(2)-(90000)=0

We add all the numbers together, and all the variables

80000x^2-90000=0

a = 80000; b = 0; c = -90000;
Δ = b2-4ac
Δ = 02-4·80000·(-90000)
Δ = 28800000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{28800000000}=\sqrt{14400000000*2}=\sqrt{14400000000}*\sqrt{2}=120000\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120000\sqrt{2}}{2*80000}=\frac{0-120000\sqrt{2}}{160000}
=-\frac{120000\sqrt{2}}{160000}
=-\frac{3\sqrt{2}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120000\sqrt{2}}{2*80000}=\frac{0+120000\sqrt{2}}{160000}
=\frac{120000\sqrt{2}}{160000}
=\frac{3\sqrt{2}}{4}
$