(7/8)x-(5/8)=2

Solution for (7/8)x-(5/8)=2 equation:

(7/8)x-(5/8)=2

We move all terms to the left:

(7/8)x-(5/8)-(2)=0


Domain of the equation: 8)x!=0

x!=0/1

x!=0

x∈R


determiningTheFunctionDomain
(7/8)x-2-(5/8)=0

We add all the numbers together, and all the variables

(+7/8)x-2-(+5/8)=0

We multiply parentheses

7x^2-2-(+5/8)=0

We get rid of parentheses

7x^2-2-5/8=0

We multiply all the terms by the denominator


7x^2*8-5-2*8=0

We add all the numbers together, and all the variables

7x^2*8-21=0

Wy multiply elements

56x^2-21=0

a = 56; b = 0; c = -21;
Δ = b2-4ac
Δ = 02-4·56·(-21)
Δ = 4704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4704}=\sqrt{784*6}=\sqrt{784}*\sqrt{6}=28\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{6}}{2*56}=\frac{0-28\sqrt{6}}{112}
=-\frac{28\sqrt{6}}{112}
=-\frac{\sqrt{6}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{6}}{2*56}=\frac{0+28\sqrt{6}}{112}
=\frac{28\sqrt{6}}{112}
=\frac{\sqrt{6}}{4}
$