5(6x+10)(x-2)=0

Solution for 5(6x+10)(x-2)=0 equation:

5(6x+10)(x-2)=0

We multiply parentheses ..

5(+6x^2-12x+10x-20)=0

We multiply parentheses

30x^2-60x+50x-100=0

We add all the numbers together, and all the variables

30x^2-10x-100=0

a = 30; b = -10; c = -100;
Δ = b2-4ac
Δ = -102-4·30·(-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{-(-10)-110}{2*30}=\frac{-100}{60}
=-1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+110}{2*30}=\frac{120}{60}
=2
$