4.5x(x+2)=5x

Solution for 4.5x(x+2)=5x equation:

4.5x(x+2)=5x

We move all terms to the left:

4.5x(x+2)-(5x)=0

We add all the numbers together, and all the variables

-5x+4.5x(x+2)=0

We multiply parentheses

4x^2-5x+8x=0

We add all the numbers together, and all the variables

4x^2+3x=0

a = 4; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·4·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*4}=\frac{-6}{8}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*4}=\frac{0}{8}
=0
$