15x^2+7x-7=180

Solution for 15x^2+7x-7=180 equation:

15x^2+7x-7=180

We move all terms to the left:

15x^2+7x-7-(180)=0

We add all the numbers together, and all the variables

15x^2+7x-187=0

a = 15; b = 7; c = -187;
Δ = b2-4ac
Δ = 72-4·15·(-187)
Δ = 11269
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{-(7)-\sqrt{11269}}{2*15}=\frac{-7-\sqrt{11269}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{11269}}{2*15}=\frac{-7+\sqrt{11269}}{30}
$