10x(3-2x)=0

Solution for 10x(3-2x)=0 equation:

10x(3-2x)=0

We add all the numbers together, and all the variables

10x(-2x+3)=0

We multiply parentheses

-20x^2+30x=0

a = -20; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-20)·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*-20}=\frac{-60}{-40}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-20}=\frac{0}{-40}
=0
$