20-1.5*p^2=2*p^2-6

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Solution for 20-1.5*p^2=2*p^2-6 equation: 


Simplifying
20 + -1.5p2 = 2p2 + -6

Reorder the terms:
20 + -1.5p2 = -6 + 2p2

Solving
20 + -1.5p2 = -6 + 2p2

Solving for variable 'p'.

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

Add '-2p2' to each side of the equation.
20 + -1.5p2 + -2p2 = -6 + 2p2 + -2p2

Combine like terms: -1.5p2 + -2p2 = -3.5p2
20 + -3.5p2 = -6 + 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
20 + -3.5p2 = -6 + 0
20 + -3.5p2 = -6

Add '-20' to each side of the equation.
20 + -20 + -3.5p2 = -6 + -20

Combine like terms: 20 + -20 = 0
0 + -3.5p2 = -6 + -20
-3.5p2 = -6 + -20

Combine like terms: -6 + -20 = -26
-3.5p2 = -26

Divide each side by '-3.5'.
p2 = 7.428571429

Simplifying
p2 = 7.428571429

Take the square root of each side:
p = {-2.725540576, 2.725540576}

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