(x+46)(x+45)=0

Solution for (x+46)(x+45)=0 equation:

(x+46)(x+45)=0

We multiply parentheses ..

(+x^2+45x+46x+2070)=0

We get rid of parentheses

x^2+45x+46x+2070=0

We add all the numbers together, and all the variables

x^2+91x+2070=0

a = 1; b = 91; c = +2070;
Δ = b2-4ac
Δ = 912-4·1·2070
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(91)-1}{2*1}=\frac{-92}{2}
=-46
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(91)+1}{2*1}=\frac{-90}{2}
=-45
$