2x^2+9x+9+2x^2-114=0

Solution for 2x^2+9x+9+2x^2-114=0 equation:

2x^2+9x+9+2x^2-114=0

We add all the numbers together, and all the variables

4x^2+9x-105=0

a = 4; b = 9; c = -105;
Δ = b2-4ac
Δ = 92-4·4·(-105)
Δ = 1761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{1761}}{2*4}=\frac{-9-\sqrt{1761}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{1761}}{2*4}=\frac{-9+\sqrt{1761}}{8}
$