x(5x-10=100)

Solution for x(5x-10=100) equation:

x(5x-10=100)

We move all terms to the left:

x(5x-10-(100))=0

We add all the numbers together, and all the variables

x(5x-110)=0

We multiply parentheses

5x^2-110x=0

a = 5; b = -110; c = 0;
Δ = b2-4ac
Δ = -1102-4·5·0
Δ = 12100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12100}=110$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-110)-110}{2*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-110)+110}{2*5}=\frac{220}{10}
=22
$