2x*5x+5=180

Solution for 2x*5x+5=180 equation:

2x*5x+5=180

We move all terms to the left:

2x*5x+5-(180)=0

We add all the numbers together, and all the variables

2x*5x-175=0

Wy multiply elements

10x^2-175=0

a = 10; b = 0; c = -175;
Δ = b2-4ac
Δ = 02-4·10·(-175)
Δ = 7000
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:

$\sqrt{\Delta}=\sqrt{7000}=\sqrt{100*70}=\sqrt{100}*\sqrt{70}=10\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{70}}{2*10}=\frac{0-10\sqrt{70}}{20}
=-\frac{10\sqrt{70}}{20}
=-\frac{\sqrt{70}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{70}}{2*10}=\frac{0+10\sqrt{70}}{20}
=\frac{10\sqrt{70}}{20}
=\frac{\sqrt{70}}{2}
$