525=50*c*16*

Solution for 525=50*c*16* equation:

525=50*c*16*

We move all terms to the left:

525-(50*c*16*)=0

We add all the numbers together, and all the variables

-(+50*c*16*)+525=0

We get rid of parentheses

-50*c*16*+525=0

Wy multiply elements

-800c^2*1+525=0

Wy multiply elements

-800c^2+525=0

a = -800; b = 0; c = +525;
Δ = b2-4ac
Δ = 02-4·(-800)·525
Δ = 1680000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1680000}=\sqrt{40000*42}=\sqrt{40000}*\sqrt{42}=200\sqrt{42}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{42}}{2*-800}=\frac{0-200\sqrt{42}}{-1600}
=-\frac{200\sqrt{42}}{-1600}
=-\frac{\sqrt{42}}{-8}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{42}}{2*-800}=\frac{0+200\sqrt{42}}{-1600}
=\frac{200\sqrt{42}}{-1600}
=\frac{\sqrt{42}}{-8}
$