(X+9x2)=34

Solution for (X+9x2)=34 equation:

(X+9X^2)=34

We move all terms to the left:

(X+9X^2)-(34)=0

We get rid of parentheses

9X^2+X-34=0

a = 9; b = 1; c = -34;
Δ = b2-4ac
Δ = 12-4·9·(-34)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-35}{2*9}=\frac{-36}{18}
=-2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+35}{2*9}=\frac{34}{18}
=1+8/9
$