150=q^2+6

Solution for 150=q^2+6 equation:

Simplifying
150 = q2 + 6

Reorder the terms:
150 = 6 + q2

Solving
150 = 6 + q2

Solving for variable 'q'.

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

Add '-1q2' to each side of the equation.
150 + -1q2 = 6 + q2 + -1q2

Combine like terms: q2 + -1q2 = 0
150 + -1q2 = 6 + 0
150 + -1q2 = 6

Add '-150' to each side of the equation.
150 + -150 + -1q2 = 6 + -150

Combine like terms: 150 + -150 = 0
0 + -1q2 = 6 + -150
-1q2 = 6 + -150

Combine like terms: 6 + -150 = -144
-1q2 = -144

Divide each side by '-1'.
q2 = 144

Simplifying
q2 = 144

Take the square root of each side:
q = {-12, 12}