15+3x(5-2x)=2x

Solution for 15+3x(5-2x)=2x equation:

15+3x(5-2x)=2x

We move all terms to the left:

15+3x(5-2x)-(2x)=0

We add all the numbers together, and all the variables

3x(-2x+5)-2x+15=0

We add all the numbers together, and all the variables

-2x+3x(-2x+5)+15=0

We multiply parentheses

-6x^2-2x+15x+15=0

We add all the numbers together, and all the variables

-6x^2+13x+15=0

a = -6; b = 13; c = +15;
Δ = b2-4ac
Δ = 132-4·(-6)·15
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-23}{2*-6}=\frac{-36}{-12}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+23}{2*-6}=\frac{10}{-12}
=-5/6
$