2p^2+12=6p^2-36

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Solution for 2p^2+12=6p^2-36 equation: 


Simplifying
2p2 + 12 = 6p2 + -36

Reorder the terms:
12 + 2p2 = 6p2 + -36

Reorder the terms:
12 + 2p2 = -36 + 6p2

Solving
12 + 2p2 = -36 + 6p2

Solving for variable 'p'.

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

Add '-6p2' to each side of the equation.
12 + 2p2 + -6p2 = -36 + 6p2 + -6p2

Combine like terms: 2p2 + -6p2 = -4p2
12 + -4p2 = -36 + 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
12 + -4p2 = -36 + 0
12 + -4p2 = -36

Add '-12' to each side of the equation.
12 + -12 + -4p2 = -36 + -12

Combine like terms: 12 + -12 = 0
0 + -4p2 = -36 + -12
-4p2 = -36 + -12

Combine like terms: -36 + -12 = -48
-4p2 = -48

Divide each side by '-4'.
p2 = 12

Simplifying
p2 = 12

Take the square root of each side:
p = {-3.464101615, 3.464101615}

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