x(29/45)=58

Solution for x(29/45)=58 equation:

x(29/45)=58

We move all terms to the left:

x(29/45)-(58)=0

We add all the numbers together, and all the variables

x(+29/45)-58=0

We multiply parentheses

29x^2-58=0

a = 29; b = 0; c = -58;
Δ = b2-4ac
Δ = 02-4·29·(-58)
Δ = 6728
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:

$\sqrt{\Delta}=\sqrt{6728}=\sqrt{3364*2}=\sqrt{3364}*\sqrt{2}=58\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-58\sqrt{2}}{2*29}=\frac{0-58\sqrt{2}}{58}
=-\frac{58\sqrt{2}}{58}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+58\sqrt{2}}{2*29}=\frac{0+58\sqrt{2}}{58}
=\frac{58\sqrt{2}}{58}
=\sqrt{2}
$