X(2x+5)=3x

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

X(2X+5)=3X

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

2X^2-3X+5X=0

We add all the numbers together, and all the variables

2X^2+2X=0

a = 2; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·2·0
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*2}=\frac{-4}{4}
=-1
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*2}=\frac{0}{4}
=0
$