11/4x-1/2x=7/8

Solution for 11/4x-1/2x=7/8 equation:

11/4x-1/2x=7/8

We move all terms to the left:

11/4x-1/2x-(7/8)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

11/4x-1/2x-(+7/8)=0

We get rid of parentheses

11/4x-1/2x-7/8=0

We calculate fractions


(-112x^2)/512x^2+1408x/512x^2+(-256x)/512x^2=0

We multiply all the terms by the denominator


(-112x^2)+1408x+(-256x)=0

We get rid of parentheses

-112x^2+1408x-256x=0

We add all the numbers together, and all the variables

-112x^2+1152x=0

a = -112; b = 1152; c = 0;
Δ = b2-4ac
Δ = 11522-4·(-112)·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*-112}=\frac{-2304}{-224}
=10+2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1152)+1152}{2*-112}=\frac{0}{-224}
=0
$