(9x+7)+(2x2)=229

Solution for (9x+7)+(2x2)=229 equation:

(9x+7)+(2x^2)=229

We move all terms to the left:

(9x+7)+(2x^2)-(229)=0

determiningTheFunctionDomain
2x^2+(9x+7)-229=0

We get rid of parentheses

2x^2+9x+7-229=0

We add all the numbers together, and all the variables

2x^2+9x-222=0

a = 2; b = 9; c = -222;
Δ = b2-4ac
Δ = 92-4·2·(-222)
Δ = 1857
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{1857}}{2*2}=\frac{-9-\sqrt{1857}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{1857}}{2*2}=\frac{-9+\sqrt{1857}}{4}
$