11p+3x-66=2p^2+p-x-10

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Solution for 11p+3x-66=2p^2+p-x-10 equation: 


Simplifying
11p + 3x + -66 = 2p2 + p + -1x + -10

Reorder the terms:
-66 + 11p + 3x = 2p2 + p + -1x + -10

Reorder the terms:
-66 + 11p + 3x = -10 + p + 2p2 + -1x

Solving
-66 + 11p + 3x = -10 + p + 2p2 + -1x

Solving for variable 'p'.

Reorder the terms:
-66 + 10 + 11p + -1p + -2p2 + 3x + x = -10 + p + 2p2 + -1x + 10 + -1p + -2p2 + x

Combine like terms: -66 + 10 = -56
-56 + 11p + -1p + -2p2 + 3x + x = -10 + p + 2p2 + -1x + 10 + -1p + -2p2 + x

Combine like terms: 11p + -1p = 10p
-56 + 10p + -2p2 + 3x + x = -10 + p + 2p2 + -1x + 10 + -1p + -2p2 + x

Combine like terms: 3x + x = 4x
-56 + 10p + -2p2 + 4x = -10 + p + 2p2 + -1x + 10 + -1p + -2p2 + x

Reorder the terms:
-56 + 10p + -2p2 + 4x = -10 + 10 + p + -1p + 2p2 + -2p2 + -1x + x

Combine like terms: -10 + 10 = 0
-56 + 10p + -2p2 + 4x = 0 + p + -1p + 2p2 + -2p2 + -1x + x
-56 + 10p + -2p2 + 4x = p + -1p + 2p2 + -2p2 + -1x + x

Combine like terms: p + -1p = 0
-56 + 10p + -2p2 + 4x = 0 + 2p2 + -2p2 + -1x + x
-56 + 10p + -2p2 + 4x = 2p2 + -2p2 + -1x + x

Combine like terms: 2p2 + -2p2 = 0
-56 + 10p + -2p2 + 4x = 0 + -1x + x
-56 + 10p + -2p2 + 4x = -1x + x

Combine like terms: -1x + x = 0
-56 + 10p + -2p2 + 4x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 5p + -1p2 + 2x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-28 + 5p + -1p2 + 2x)' equal to zero and attempt to solve:

Simplifying
-28 + 5p + -1p2 + 2x = 0

Solving
-28 + 5p + -1p2 + 2x = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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