2x+6=(-1/5x)+3

Solution for 2x+6=(-1/5x)+3 equation:

2x+6=(-1/5x)+3

We move all terms to the left:

2x+6-((-1/5x)+3)=0


Domain of the equation: 5x)+3)!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


2x*5x)+3)-((+6*5x)+3)-1=0

Wy multiply elements

10x^2+30x=0

a = 10; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·10·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*10}=\frac{-60}{20}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*10}=\frac{0}{20}
=0
$