-12/3x+1/2x=-7/8

Solution for -12/3x+1/2x=-7/8 equation:

-12/3x+1/2x=-7/8

We move all terms to the left:

-12/3x+1/2x-(-7/8)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We get rid of parentheses

-12/3x+1/2x+7/8=0

We calculate fractions


84x^2/384x^2+(-1536x)/384x^2+192x/384x^2=0

We multiply all the terms by the denominator


84x^2+(-1536x)+192x=0

We add all the numbers together, and all the variables

84x^2+192x+(-1536x)=0

We get rid of parentheses

84x^2+192x-1536x=0

We add all the numbers together, and all the variables

84x^2-1344x=0

a = 84; b = -1344; c = 0;
Δ = b2-4ac
Δ = -13442-4·84·0
Δ = 1806336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1806336}=1344$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1344)-1344}{2*84}=\frac{0}{168}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1344)+1344}{2*84}=\frac{2688}{168}
=16
$