-3/8x-7/24x+1/3=-56

Solution for -3/8x-7/24x+1/3=-56 equation:

-3/8x-7/24x+1/3=-56

We move all terms to the left:

-3/8x-7/24x+1/3-(-56)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 24x!=0

x!=0/24

x!=0

x∈R


We add all the numbers together, and all the variables

-3/8x-7/24x+56+1/3=0

We calculate fractions


384x^2/1728x^2+(-648x)/1728x^2+(-504x)/1728x^2+56=0

We multiply all the terms by the denominator


384x^2+(-648x)+(-504x)+56*1728x^2=0

Wy multiply elements

384x^2+96768x^2+(-648x)+(-504x)=0

We get rid of parentheses

384x^2+96768x^2-648x-504x=0

We add all the numbers together, and all the variables

97152x^2-1152x=0

a = 97152; b = -1152; c = 0;
Δ = b2-4ac
Δ = -11522-4·97152·0
Δ = 1327104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1327104}=1152$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1152)-1152}{2*97152}=\frac{0}{194304}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1152)+1152}{2*97152}=\frac{2304}{194304}
=3/253
$