(x+1)(x+234)=0

Solution for (x+1)(x+234)=0 equation:

(x+1)(x+234)=0

We multiply parentheses ..

(+x^2+234x+x+234)=0

We get rid of parentheses

x^2+234x+x+234=0

We add all the numbers together, and all the variables

x^2+235x+234=0

a = 1; b = 235; c = +234;
Δ = b2-4ac
Δ = 2352-4·1·234
Δ = 54289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{54289}=233$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(235)-233}{2*1}=\frac{-468}{2}
=-234
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(235)+233}{2*1}=\frac{-2}{2}
=-1
$