9-x+14x2=30

Solution for 9-x+14x2=30 equation:

9-x+14x^2=30

We move all terms to the left:

9-x+14x^2-(30)=0

We add all the numbers together, and all the variables

14x^2-1x-21=0

a = 14; b = -1; c = -21;
Δ = b2-4ac
Δ = -12-4·14·(-21)
Δ = 1177
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{-(-1)-\sqrt{1177}}{2*14}=\frac{1-\sqrt{1177}}{28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1177}}{2*14}=\frac{1+\sqrt{1177}}{28}
$