(x+29)(x+3)=360

Solution for (x+29)(x+3)=360 equation:

(x+29)(x+3)=360

We move all terms to the left:

(x+29)(x+3)-(360)=0

We multiply parentheses ..

(+x^2+3x+29x+87)-360=0

We get rid of parentheses

x^2+3x+29x+87-360=0

We add all the numbers together, and all the variables

x^2+32x-273=0

a = 1; b = 32; c = -273;
Δ = b2-4ac
Δ = 322-4·1·(-273)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-46}{2*1}=\frac{-78}{2}
=-39
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+46}{2*1}=\frac{14}{2}
=7
$