7+7x*12x+2=180

Solution for 7+7x*12x+2=180 equation:

7+7x*12x+2=180

We move all terms to the left:

7+7x*12x+2-(180)=0

We add all the numbers together, and all the variables

7x*12x-171=0

Wy multiply elements

84x^2-171=0

a = 84; b = 0; c = -171;
Δ = b2-4ac
Δ = 02-4·84·(-171)
Δ = 57456
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:

$\sqrt{\Delta}=\sqrt{57456}=\sqrt{144*399}=\sqrt{144}*\sqrt{399}=12\sqrt{399}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{399}}{2*84}=\frac{0-12\sqrt{399}}{168}
=-\frac{12\sqrt{399}}{168}
=-\frac{\sqrt{399}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{399}}{2*84}=\frac{0+12\sqrt{399}}{168}
=\frac{12\sqrt{399}}{168}
=\frac{\sqrt{399}}{14}
$