5x2+58x=3x

Solution for 5x2+58x=3x equation:

5x^2+58x=3x

We move all terms to the left:

5x^2+58x-(3x)=0

We add all the numbers together, and all the variables

5x^2+55x=0

a = 5; b = 55; c = 0;
Δ = b2-4ac
Δ = 552-4·5·0
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(55)-55}{2*5}=\frac{-110}{10}
=-11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+55}{2*5}=\frac{0}{10}
=0
$