36x^2-144x=145

Solution for 36x^2-144x=145 equation:

36x^2-144x=145

We move all terms to the left:

36x^2-144x-(145)=0

a = 36; b = -144; c = -145;
Δ = b2-4ac
Δ = -1442-4·36·(-145)
Δ = 41616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{41616}=204$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-144)-204}{2*36}=\frac{-60}{72}
=-5/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+204}{2*36}=\frac{348}{72}
=4+5/6
$