36x^2-69x-36=0

Solution for 36x^2-69x-36=0 equation:

36x^2-69x-36=0

a = 36; b = -69; c = -36;
Δ = b2-4ac
Δ = -692-4·36·(-36)
Δ = 9945
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{9945}=\sqrt{9*1105}=\sqrt{9}*\sqrt{1105}=3\sqrt{1105}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-69)-3\sqrt{1105}}{2*36}=\frac{69-3\sqrt{1105}}{72}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-69)+3\sqrt{1105}}{2*36}=\frac{69+3\sqrt{1105}}{72}
$