-3/5x-7/20+1/4x=-56

Solution for -3/5x-7/20+1/4x=-56 equation:

-3/5x-7/20+1/4x=-56

We move all terms to the left:

-3/5x-7/20+1/4x-(-56)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

-3/5x+1/4x+56-7/20=0

We calculate fractions


(-560x^2)/800x^2+(-480x)/800x^2+200x/800x^2+56=0

We multiply all the terms by the denominator


(-560x^2)+(-480x)+200x+56*800x^2=0

We add all the numbers together, and all the variables

(-560x^2)+200x+(-480x)+56*800x^2=0

Wy multiply elements

(-560x^2)+44800x^2+200x+(-480x)=0

We get rid of parentheses

-560x^2+44800x^2+200x-480x=0

We add all the numbers together, and all the variables

44240x^2-280x=0

a = 44240; b = -280; c = 0;
Δ = b2-4ac
Δ = -2802-4·44240·0
Δ = 78400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{78400}=280$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-280)-280}{2*44240}=\frac{0}{88480}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-280)+280}{2*44240}=\frac{560}{88480}
=1/158
$