(7x+7)(2x+2)=180

Solution for (7x+7)(2x+2)=180 equation:

(7x+7)(2x+2)=180

We move all terms to the left:

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

We multiply parentheses ..

(+14x^2+14x+14x+14)-180=0

We get rid of parentheses

14x^2+14x+14x+14-180=0

We add all the numbers together, and all the variables

14x^2+28x-166=0

a = 14; b = 28; c = -166;
Δ = b2-4ac
Δ = 282-4·14·(-166)
Δ = 10080
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:

$\sqrt{\Delta}=\sqrt{10080}=\sqrt{144*70}=\sqrt{144}*\sqrt{70}=12\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-12\sqrt{70}}{2*14}=\frac{-28-12\sqrt{70}}{28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+12\sqrt{70}}{2*14}=\frac{-28+12\sqrt{70}}{28}
$