7x^2+9x+2=15

Solution for 7x^2+9x+2=15 equation:

7x^2+9x+2=15

We move all terms to the left:

7x^2+9x+2-(15)=0

We add all the numbers together, and all the variables

7x^2+9x-13=0

a = 7; b = 9; c = -13;
Δ = b2-4ac
Δ = 92-4·7·(-13)
Δ = 445
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{445}}{2*7}=\frac{-9-\sqrt{445}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{445}}{2*7}=\frac{-9+\sqrt{445}}{14}
$