(2x+9)(x+7)=()

Solution for (2x+9)(x+7)=() equation:

(2x+9)(x+7)=()

We move all terms to the left:

(2x+9)(x+7)-(())=0

We add all the numbers together, and all the variables

(2x+9)(x+7)=0

We multiply parentheses ..

(+2x^2+14x+9x+63)=0

We get rid of parentheses

2x^2+14x+9x+63=0

We add all the numbers together, and all the variables

2x^2+23x+63=0

a = 2; b = 23; c = +63;
Δ = b2-4ac
Δ = 232-4·2·63
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-5}{2*2}=\frac{-28}{4}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+5}{2*2}=\frac{-18}{4}
=-4+1/2
$