3x+45x/15x=0

Solution for 3x+45x/15x=0 equation:

3x+45x/15x=0


Domain of the equation: 15x!=0

x!=0/15

x!=0

x∈R


We multiply all the terms by the denominator


3x*15x+45x=0

We add all the numbers together, and all the variables

45x+3x*15x=0

Wy multiply elements

45x^2+45x=0

a = 45; b = 45; c = 0;
Δ = b2-4ac
Δ = 452-4·45·0
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45)-45}{2*45}=\frac{-90}{90}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+45}{2*45}=\frac{0}{90}
=0
$