0=2x(x-30)

Solution for 0=2x(x-30) equation:

0=2x(x-30)

We move all terms to the left:

0-(2x(x-30))=0

We add all the numbers together, and all the variables

-(2x(x-30))=0


We calculate terms in parentheses: -(2x(x-30)), so:

2x(x-30)

We multiply parentheses

2x^2-60x

Back to the equation:

-(2x^2-60x)


We get rid of parentheses

-2x^2+60x=0

a = -2; b = 60; c = 0;
Δ = b2-4ac
Δ = 602-4·(-2)·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60}{2*-2}=\frac{-120}{-4}
=+30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60}{2*-2}=\frac{0}{-4}
=0
$