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

## Simple and best practice solution for (x-2)(5x+2)=180 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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

(x-2)(5x+2)=180
We move all terms to the left:
(x-2)(5x+2)-(180)=0
We multiply parentheses ..
(+5x^2+2x-10x-4)-180=0
We get rid of parentheses
5x^2+2x-10x-4-180=0
We add all the numbers together, and all the variables
5x^2-8x-184=0
a = 5; b = -8; c = -184;
Δ = b2-4ac
Δ = -82-4·5·(-184)
Δ = 3744
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:
$\sqrt{\Delta}=\sqrt{3744}=\sqrt{144*26}=\sqrt{144}*\sqrt{26}=12\sqrt{26}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-12\sqrt{26}}{2*5}=\frac{8-12\sqrt{26}}{10}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+12\sqrt{26}}{2*5}=\frac{8+12\sqrt{26}}{10}$