1/8x-1/11x+1/88=8

Solution for 1/8x-1/11x+1/88=8 equation:

1/8x-1/11x+1/88=8

We move all terms to the left:

1/8x-1/11x+1/88-(8)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 11x!=0

x!=0/11

x!=0

x∈R


determiningTheFunctionDomain
1/8x-1/11x-8+1/88=0

We calculate fractions


88x^2/61952x^2+7744x/61952x^2+(-5632x)/61952x^2-8=0

We multiply all the terms by the denominator


88x^2+7744x+(-5632x)-8*61952x^2=0

Wy multiply elements

88x^2-495616x^2+7744x+(-5632x)=0

We get rid of parentheses

88x^2-495616x^2+7744x-5632x=0

We add all the numbers together, and all the variables

-495528x^2+2112x=0

a = -495528; b = 2112; c = 0;
Δ = b2-4ac
Δ = 21122-4·(-495528)·0
Δ = 4460544
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4460544}=2112$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2112)-2112}{2*-495528}=\frac{-4224}{-991056}
=8/1877
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2112)+2112}{2*-495528}=\frac{0}{-991056}
=0
$