10(x+10)(x-1)=0

Solution for 10(x+10)(x-1)=0 equation:

10(x+10)(x-1)=0

We multiply parentheses ..

10(+x^2-1x+10x-10)=0

We multiply parentheses

10x^2-10x+100x-100=0

We add all the numbers together, and all the variables

10x^2+90x-100=0

a = 10; b = 90; c = -100;
Δ = b2-4ac
Δ = 902-4·10·(-100)
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{-(90)-110}{2*10}=\frac{-200}{20}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(90)+110}{2*10}=\frac{20}{20}
=1
$