-117+3/4x=-26-7/8x

Solution for -117+3/4x=-26-7/8x equation:

-117+3/4x=-26-7/8x

We move all terms to the left:

-117+3/4x-(-26-7/8x)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 8x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

3/4x-(-7/8x-26)-117=0

We get rid of parentheses

3/4x+7/8x+26-117=0

We calculate fractions


24x/32x^2+28x/32x^2+26-117=0

We add all the numbers together, and all the variables

24x/32x^2+28x/32x^2-91=0

We multiply all the terms by the denominator


24x+28x-91*32x^2=0

We add all the numbers together, and all the variables

52x-91*32x^2=0

Wy multiply elements

-2912x^2+52x=0

a = -2912; b = 52; c = 0;
Δ = b2-4ac
Δ = 522-4·(-2912)·0
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(52)-52}{2*-2912}=\frac{-104}{-5824}
=1/56
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(52)+52}{2*-2912}=\frac{0}{-5824}
=0
$