c*(29/60)=125

Solution for c*(29/60)=125 equation:

c(29/60)=125

We move all terms to the left:

c(29/60)-(125)=0

We add all the numbers together, and all the variables

c(+29/60)-125=0

We multiply parentheses

29c^2-125=0

a = 29; b = 0; c = -125;
Δ = b2-4ac
Δ = 02-4·29·(-125)
Δ = 14500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{14500}=\sqrt{100*145}=\sqrt{100}*\sqrt{145}=10\sqrt{145}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{145}}{2*29}=\frac{0-10\sqrt{145}}{58}
=-\frac{10\sqrt{145}}{58}
=-\frac{5\sqrt{145}}{29}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{145}}{2*29}=\frac{0+10\sqrt{145}}{58}
=\frac{10\sqrt{145}}{58}
=\frac{5\sqrt{145}}{29}
$