x2=100x2-x=

Solution for x2=100x2-x= equation:

x2=100x^2-x=

We move all terms to the left:

x2-(100x^2-x)=0

We add all the numbers together, and all the variables

x^2-(100x^2-x)=0

We get rid of parentheses

x^2-100x^2+x=0

We add all the numbers together, and all the variables

-99x^2+x=0

a = -99; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-99)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-99}=\frac{-2}{-198}
=1/99
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-99}=\frac{0}{-198}
=0
$