5x(5=3x)

Solution for 5x(5=3x) equation:

5x(5=3x)

We move all terms to the left:

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

We add all the numbers together, and all the variables

5x(-3x+5)=0

We multiply parentheses

-15x^2+25x=0

a = -15; b = 25; c = 0;
Δ = b2-4ac
Δ = 252-4·(-15)·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-25}{2*-15}=\frac{-50}{-30}
=1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+25}{2*-15}=\frac{0}{-30}
=0
$