49+1-2p+p^2+p^2=20+2p^2

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Solution for 49+1-2p+p^2+p^2=20+2p^2 equation: 


Simplifying
49 + 1 + -2p + p2 + p2 = 20 + 2p2

Combine like terms: 49 + 1 = 50
50 + -2p + p2 + p2 = 20 + 2p2

Combine like terms: p2 + p2 = 2p2
50 + -2p + 2p2 = 20 + 2p2

Add '-2p2' to each side of the equation.
50 + -2p + 2p2 + -2p2 = 20 + 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
50 + -2p + 0 = 20 + 2p2 + -2p2
50 + -2p = 20 + 2p2 + -2p2

Combine like terms: 2p2 + -2p2 = 0
50 + -2p = 20 + 0
50 + -2p = 20

Solving
50 + -2p = 20

Solving for variable 'p'.

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

Add '-50' to each side of the equation.
50 + -50 + -2p = 20 + -50

Combine like terms: 50 + -50 = 0
0 + -2p = 20 + -50
-2p = 20 + -50

Combine like terms: 20 + -50 = -30
-2p = -30

Divide each side by '-2'.
p = 15

Simplifying
p = 15

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