10x*6x=115

Solution for 10x*6x=115 equation:

10x*6x=115

We move all terms to the left:

10x*6x-(115)=0

Wy multiply elements

60x^2-115=0

a = 60; b = 0; c = -115;
Δ = b2-4ac
Δ = 02-4·60·(-115)
Δ = 27600
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:

$\sqrt{\Delta}=\sqrt{27600}=\sqrt{400*69}=\sqrt{400}*\sqrt{69}=20\sqrt{69}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{69}}{2*60}=\frac{0-20\sqrt{69}}{120}
=-\frac{20\sqrt{69}}{120}
=-\frac{\sqrt{69}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{69}}{2*60}=\frac{0+20\sqrt{69}}{120}
=\frac{20\sqrt{69}}{120}
=\frac{\sqrt{69}}{6}
$