6-P^2=-30+3P^2

Solution for 6-P^2=-30+3P^2 equation:

Simplifying
6 + -1P2 = -30 + 3P2

Solving
6 + -1P2 = -30 + 3P2

Solving for variable 'P'.

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

Add '-3P2' to each side of the equation.
6 + -1P2 + -3P2 = -30 + 3P2 + -3P2

Combine like terms: -1P2 + -3P2 = -4P2
6 + -4P2 = -30 + 3P2 + -3P2

Combine like terms: 3P2 + -3P2 = 0
6 + -4P2 = -30 + 0
6 + -4P2 = -30

Add '-6' to each side of the equation.
6 + -6 + -4P2 = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -4P2 = -30 + -6
-4P2 = -30 + -6

Combine like terms: -30 + -6 = -36
-4P2 = -36

Divide each side by '-4'.
P2 = 9

Simplifying
P2 = 9

Take the square root of each side:
P = {-3, 3}