6+0.1x=0/15x+8

Solution for 6+0.1x=0/15x+8 equation:

6+0.1x=0/15x+8

We move all terms to the left:

6+0.1x-(0/15x+8)=0


Domain of the equation: 15x+8)!=0

x∈R


We get rid of parentheses

0.1x-0/15x-8+6=0

We multiply all the terms by the denominator


(0.1x)*15x-8*15x+6*15x-0=0

We add all the numbers together, and all the variables

(+0.1x)*15x-8*15x+6*15x-0=0

We add all the numbers together, and all the variables

(+0.1x)*15x-8*15x+6*15x=0

We multiply parentheses

0x^2-8*15x+6*15x=0

Wy multiply elements

0x^2-120x+90x=0

We add all the numbers together, and all the variables

x^2-30x=0

a = 1; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·1·0
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*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*1}=\frac{60}{2}
=30
$