65*85*x=525000

Solution for 65*85*x=525000 equation:

65*85*x=525000

We move all terms to the left:

65*85*x-(525000)=0

Wy multiply elements

5525x*x-525000=0

Wy multiply elements

5525x^2-525000=0

a = 5525; b = 0; c = -525000;
Δ = b2-4ac
Δ = 02-4·5525·(-525000)
Δ = 11602500000
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:

$\sqrt{\Delta}=\sqrt{11602500000}=\sqrt{250000*46410}=\sqrt{250000}*\sqrt{46410}=500\sqrt{46410}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-500\sqrt{46410}}{2*5525}=\frac{0-500\sqrt{46410}}{11050}
=-\frac{500\sqrt{46410}}{11050}
=-\frac{10\sqrt{46410}}{221}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+500\sqrt{46410}}{2*5525}=\frac{0+500\sqrt{46410}}{11050}
=\frac{500\sqrt{46410}}{11050}
=\frac{10\sqrt{46410}}{221}
$