(2x+23)(x+13)=

Solution for (2x+23)(x+13)= equation:

(2x+23)(x+13)=

We move all terms to the left:

(2x+23)(x+13)-()=0

We add all the numbers together, and all the variables

(2x+23)(x+13)=0

We multiply parentheses ..

(+2x^2+26x+23x+299)=0

We get rid of parentheses

2x^2+26x+23x+299=0

We add all the numbers together, and all the variables

2x^2+49x+299=0

a = 2; b = 49; c = +299;
Δ = b2-4ac
Δ = 492-4·2·299
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(49)-3}{2*2}=\frac{-52}{4}
=-13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(49)+3}{2*2}=\frac{-46}{4}
=-11+1/2
$