-3/7x-9/28+1/4x=-70

Solution for -3/7x-9/28+1/4x=-70 equation:

-3/7x-9/28+1/4x=-70

We move all terms to the left:

-3/7x-9/28+1/4x-(-70)=0


Domain of the equation: 7x!=0

x!=0/7

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

-3/7x+1/4x+70-9/28=0

We calculate fractions


(-1008x^2)/1568x^2+(-672x)/1568x^2+392x/1568x^2+70=0

We multiply all the terms by the denominator


(-1008x^2)+(-672x)+392x+70*1568x^2=0

We add all the numbers together, and all the variables

(-1008x^2)+392x+(-672x)+70*1568x^2=0

Wy multiply elements

(-1008x^2)+109760x^2+392x+(-672x)=0

We get rid of parentheses

-1008x^2+109760x^2+392x-672x=0

We add all the numbers together, and all the variables

108752x^2-280x=0

a = 108752; b = -280; c = 0;
Δ = b2-4ac
Δ = -2802-4·108752·0
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*108752}=\frac{0}{217504}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-280)+280}{2*108752}=\frac{560}{217504}
=5/1942
$