5x(x+2)-3x=0

Solution for 5x(x+2)-3x=0 equation:

5x(x+2)-3x=0

We add all the numbers together, and all the variables

-3x+5x(x+2)=0

We multiply parentheses

5x^2-3x+10x=0

We add all the numbers together, and all the variables

5x^2+7x=0

a = 5; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·5·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*5}=\frac{-14}{10}
=-1+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*5}=\frac{0}{10}
=0
$