12-1/10x-3/5x=26

Solution for 12-1/10x-3/5x=26 equation:

12-1/10x-3/5x=26

We move all terms to the left:

12-1/10x-3/5x-(26)=0


Domain of the equation: 10x!=0

x!=0/10

x!=0

x∈R



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

-1/10x-3/5x-14=0

We calculate fractions


(-5x)/50x^2+(-30x)/50x^2-14=0

We multiply all the terms by the denominator


(-5x)+(-30x)-14*50x^2=0

Wy multiply elements

-700x^2+(-5x)+(-30x)=0

We get rid of parentheses

-700x^2-5x-30x=0

We add all the numbers together, and all the variables

-700x^2-35x=0

a = -700; b = -35; c = 0;
Δ = b2-4ac
Δ = -352-4·(-700)·0
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-35}{2*-700}=\frac{0}{-1400}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+35}{2*-700}=\frac{70}{-1400}
=-1/20
$