0.3x-15=0/2x-5

Solution for 0.3x-15=0/2x-5 equation:

0.3x-15=0/2x-5

We move all terms to the left:

0.3x-15-(0/2x-5)=0


Domain of the equation: 2x-5)!=0

x∈R


We get rid of parentheses

0.3x-0/2x+5-15=0

We multiply all the terms by the denominator


(0.3x)*2x+5*2x-15*2x-0=0

We add all the numbers together, and all the variables

(+0.3x)*2x+5*2x-15*2x-0=0

We add all the numbers together, and all the variables

(+0.3x)*2x+5*2x-15*2x=0

We multiply parentheses

0x^2+5*2x-15*2x=0

Wy multiply elements

0x^2+10x-30x=0

We add all the numbers together, and all the variables

x^2-20x=0

a = 1; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·1·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*1}=\frac{40}{2}
=20
$