0=2x^2+15x+7

Solution for 0=2x^2+15x+7 equation:

0=2x^2+15x+7

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

-2x^2-15x-7=0

a = -2; b = -15; c = -7;
Δ = b2-4ac
Δ = -152-4·(-2)·(-7)
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-13}{2*-2}=\frac{2}{-4}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+13}{2*-2}=\frac{28}{-4}
=-7
$