7x*2x+27=180

Solution for 7x*2x+27=180 equation:

7x*2x+27=180

We move all terms to the left:

7x*2x+27-(180)=0

We add all the numbers together, and all the variables

7x*2x-153=0

Wy multiply elements

14x^2-153=0

a = 14; b = 0; c = -153;
Δ = b2-4ac
Δ = 02-4·14·(-153)
Δ = 8568
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:

$\sqrt{\Delta}=\sqrt{8568}=\sqrt{36*238}=\sqrt{36}*\sqrt{238}=6\sqrt{238}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{238}}{2*14}=\frac{0-6\sqrt{238}}{28}
=-\frac{6\sqrt{238}}{28}
=-\frac{3\sqrt{238}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{238}}{2*14}=\frac{0+6\sqrt{238}}{28}
=\frac{6\sqrt{238}}{28}
=\frac{3\sqrt{238}}{14}
$