(13x-43)x=Z=

Solution for (13x-43)x=Z= equation:

(13x-43)x==

We move all terms to the left:

(13x-43)x-()=0

We add all the numbers together, and all the variables

(13x-43)x=0

We multiply parentheses

13x^2-43x=0

a = 13; b = -43; c = 0;
Δ = b2-4ac
Δ = -432-4·13·0
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-43)-43}{2*13}=\frac{0}{26}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-43)+43}{2*13}=\frac{86}{26}
=3+4/13
$