9x*51*1000x=100468

Solution for 9x*51*1000x=100468 equation:

9x*51*1000x=100468

We move all terms to the left:

9x*51*1000x-(100468)=0

Wy multiply elements

459000x^2*1-100468=0

Wy multiply elements

459000x^2-100468=0

a = 459000; b = 0; c = -100468;
Δ = b2-4ac
Δ = 02-4·459000·(-100468)
Δ = 184459248000
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:

$\sqrt{\Delta}=\sqrt{184459248000}=\sqrt{14400*12809670}=\sqrt{14400}*\sqrt{12809670}=120\sqrt{12809670}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{12809670}}{2*459000}=\frac{0-120\sqrt{12809670}}{918000}
=-\frac{120\sqrt{12809670}}{918000}
=-\frac{\sqrt{12809670}}{7650}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{12809670}}{2*459000}=\frac{0+120\sqrt{12809670}}{918000}
=\frac{120\sqrt{12809670}}{918000}
=\frac{\sqrt{12809670}}{7650}
$