2(x-1)2x+(5x+2)=180

Solution for 2(x-1)2x+(5x+2)=180 equation:

2(x-1)2x+(5x+2)=180

We move all terms to the left:

2(x-1)2x+(5x+2)-(180)=0

We multiply parentheses

4x^2-4x+(5x+2)-180=0

We get rid of parentheses

4x^2-4x+5x+2-180=0

We add all the numbers together, and all the variables

4x^2+x-178=0

a = 4; b = 1; c = -178;
Δ = b2-4ac
Δ = 12-4·4·(-178)
Δ = 2849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{2849}}{2*4}=\frac{-1-\sqrt{2849}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2849}}{2*4}=\frac{-1+\sqrt{2849}}{8}
$