-4+5x*12x+10=176

Solution for -4+5x*12x+10=176 equation:

-4+5x*12x+10=176

We move all terms to the left:

-4+5x*12x+10-(176)=0

We add all the numbers together, and all the variables

5x*12x-170=0

Wy multiply elements

60x^2-170=0

a = 60; b = 0; c = -170;
Δ = b2-4ac
Δ = 02-4·60·(-170)
Δ = 40800
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:

$\sqrt{\Delta}=\sqrt{40800}=\sqrt{400*102}=\sqrt{400}*\sqrt{102}=20\sqrt{102}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{102}}{2*60}=\frac{0-20\sqrt{102}}{120}
=-\frac{20\sqrt{102}}{120}
=-\frac{\sqrt{102}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{102}}{2*60}=\frac{0+20\sqrt{102}}{120}
=\frac{20\sqrt{102}}{120}
=\frac{\sqrt{102}}{6}
$