x=5(-8/29)+2

Solution for x=5(-8/29)+2 equation:

x=5(-8/29)+2

We move all terms to the left:

x-(5(-8/29)+2)=0

We multiply all the terms by the denominator


x*29)+2)-(5(-8=0

Wy multiply elements

29x^2-8=0

a = 29; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·29·(-8)
Δ = 928
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:

$\sqrt{\Delta}=\sqrt{928}=\sqrt{16*58}=\sqrt{16}*\sqrt{58}=4\sqrt{58}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{58}}{2*29}=\frac{0-4\sqrt{58}}{58}
=-\frac{4\sqrt{58}}{58}
=-\frac{2\sqrt{58}}{29}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{58}}{2*29}=\frac{0+4\sqrt{58}}{58}
=\frac{4\sqrt{58}}{58}
=\frac{2\sqrt{58}}{29}
$