11p+3x+76=2p^2+p-x

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Solution for 11p+3x+76=2p^2+p-x equation:


Simplifying
11p + 3x + 76 = 2p2 + p + -1x

Reorder the terms:
76 + 11p + 3x = 2p2 + p + -1x

Reorder the terms:
76 + 11p + 3x = p + 2p2 + -1x

Solving
76 + 11p + 3x = p + 2p2 + -1x

Solving for variable 'p'.

Reorder the terms:
76 + 11p + -1p + -2p2 + 3x + x = p + 2p2 + -1x + -1p + -2p2 + x

Combine like terms: 11p + -1p = 10p
76 + 10p + -2p2 + 3x + x = p + 2p2 + -1x + -1p + -2p2 + x

Combine like terms: 3x + x = 4x
76 + 10p + -2p2 + 4x = p + 2p2 + -1x + -1p + -2p2 + x

Reorder the terms:
76 + 10p + -2p2 + 4x = p + -1p + 2p2 + -2p2 + -1x + x

Combine like terms: p + -1p = 0
76 + 10p + -2p2 + 4x = 0 + 2p2 + -2p2 + -1x + x
76 + 10p + -2p2 + 4x = 2p2 + -2p2 + -1x + x

Combine like terms: 2p2 + -2p2 = 0
76 + 10p + -2p2 + 4x = 0 + -1x + x
76 + 10p + -2p2 + 4x = -1x + x

Combine like terms: -1x + x = 0
76 + 10p + -2p2 + 4x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(38 + 5p + -1p2 + 2x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(38 + 5p + -1p2 + 2x)' equal to zero and attempt to solve: Simplifying 38 + 5p + -1p2 + 2x = 0 Solving 38 + 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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