25+90=x*x*100

Solution for 25+90=x*x*100 equation:

25+90=x*x*100

We move all terms to the left:

25+90-(x*x*100)=0

We add all the numbers together, and all the variables

-(+x*x*100)+25+90=0

We add all the numbers together, and all the variables

-(+x*x*100)+115=0

We get rid of parentheses

-x*x*100+115=0

Wy multiply elements

-100x^2*1+115=0

Wy multiply elements

-100x^2+115=0

a = -100; b = 0; c = +115;
Δ = b2-4ac
Δ = 02-4·(-100)·115
Δ = 46000
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:

$\sqrt{\Delta}=\sqrt{46000}=\sqrt{400*115}=\sqrt{400}*\sqrt{115}=20\sqrt{115}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{115}}{2*-100}=\frac{0-20\sqrt{115}}{-200}
=-\frac{20\sqrt{115}}{-200}
=-\frac{\sqrt{115}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{115}}{2*-100}=\frac{0+20\sqrt{115}}{-200}
=\frac{20\sqrt{115}}{-200}
=\frac{\sqrt{115}}{-10}
$