x(x+8)-(5x=+3x)

Solution for x(x+8)-(5x=+3x) equation:

x(x+8)-(5x=+3x)

We move all terms to the left:

x(x+8)-(5x-(+3x))=0

We multiply parentheses

x^2+8x-(5x-(+3x))=0


We calculate terms in parentheses: -(5x-(+3x)), so:

5x-(+3x)

We get rid of parentheses

5x-3x

We add all the numbers together, and all the variables

2x

Back to the equation:

-(2x)


We add all the numbers together, and all the variables

x^2+6x=0

a = 1; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·1·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*1}=\frac{-12}{2}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*1}=\frac{0}{2}
=0
$