x^2+15x+30x=4x

Solution for x^2+15x+30x=4x equation:

x^2+15x+30x=4x

We move all terms to the left:

x^2+15x+30x-(4x)=0

We add all the numbers together, and all the variables

x^2+41x=0

a = 1; b = 41; c = 0;
Δ = b2-4ac
Δ = 412-4·1·0
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(41)-41}{2*1}=\frac{-82}{2}
=-41
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+41}{2*1}=\frac{0}{2}
=0
$