q^2-81+20=0

Solution for q^2-81+20=0 equation:

Simplifying
q2 + -81 + 20 = 0

Reorder the terms:
-81 + 20 + q2 = 0

Combine like terms: -81 + 20 = -61
-61 + q2 = 0

Solving
-61 + q2 = 0

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '61' to each side of the equation.
-61 + 61 + q2 = 0 + 61

Combine like terms: -61 + 61 = 0
0 + q2 = 0 + 61
q2 = 0 + 61

Combine like terms: 0 + 61 = 61
q2 = 61

Simplifying
q2 = 61

Take the square root of each side:
q = {-7.810249676, 7.810249676}