(x+10)(3x-1)=0

Solution for (x+10)(3x-1)=0 equation:

(x+10)(3x-1)=0

We multiply parentheses ..

(+3x^2-1x+30x-10)=0

We get rid of parentheses

3x^2-1x+30x-10=0

We add all the numbers together, and all the variables

3x^2+29x-10=0

a = 3; b = 29; c = -10;
Δ = b2-4ac
Δ = 292-4·3·(-10)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-31}{2*3}=\frac{-60}{6}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+31}{2*3}=\frac{2}{6}
=1/3
$