2x(15+x)=0

Solution for 2x(15+x)=0 equation:

2x(15+x)=0

We add all the numbers together, and all the variables

2x(x+15)=0

We multiply parentheses

2x^2+30x=0

a = 2; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·2·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*2}=\frac{-60}{4}
=-15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*2}=\frac{0}{4}
=0
$