50q^2-81=-9

Solution for 50q^2-81=-9 equation:

50q^2-81=-9

We move all terms to the left:

50q^2-81-(-9)=0

We add all the numbers together, and all the variables

50q^2-72=0

a = 50; b = 0; c = -72;
Δ = b2-4ac
Δ = 02-4·50·(-72)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*50}=\frac{-120}{100}
=-1+1/5
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*50}=\frac{120}{100}
=1+1/5
$