2(4/13)x=32/169

Solution for 2(4/13)x=32/169 equation:

2(4/13)x=32/169

We move all terms to the left:

2(4/13)x-(32/169)=0


Domain of the equation: 13)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2(+4/13)x-(+32/169)=0

We multiply parentheses

8x^2-(+32/169)=0

We get rid of parentheses

8x^2-32/169=0

We multiply all the terms by the denominator


8x^2*169-32=0

Wy multiply elements

1352x^2-32=0

a = 1352; b = 0; c = -32;
Δ = b2-4ac
Δ = 02-4·1352·(-32)
Δ = 173056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{173056}=416$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-416}{2*1352}=\frac{-416}{2704}
=-2/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+416}{2*1352}=\frac{416}{2704}
=2/13
$