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

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

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

We move all terms to the left:

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

We multiply parentheses

-15x^2-(-2x)=0

We get rid of parentheses

-15x^2+2x=0

a = -15; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-15)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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