8p^2+10=50-2p^2

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Solution for 8p^2+10=50-2p^2 equation: 


Simplifying
8p2 + 10 = 50 + -2p2

Reorder the terms:
10 + 8p2 = 50 + -2p2

Solving
10 + 8p2 = 50 + -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.
10 + 8p2 + 2p2 = 50 + -2p2 + 2p2

Combine like terms: 8p2 + 2p2 = 10p2
10 + 10p2 = 50 + -2p2 + 2p2

Combine like terms: -2p2 + 2p2 = 0
10 + 10p2 = 50 + 0
10 + 10p2 = 50

Add '-10' to each side of the equation.
10 + -10 + 10p2 = 50 + -10

Combine like terms: 10 + -10 = 0
0 + 10p2 = 50 + -10
10p2 = 50 + -10

Combine like terms: 50 + -10 = 40
10p2 = 40

Divide each side by '10'.
p2 = 4

Simplifying
p2 = 4

Take the square root of each side:
p = {-2, 2}

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