(p+7)(p+7)+(7-n)(7-n)=98

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Solution for (p+7)(p+7)+(7-n)(7-n)=98 equation: 


Simplifying
(p + 7)(p + 7) + (7 + -1n)(7 + -1n) = 98

Reorder the terms:
(7 + p)(p + 7) + (7 + -1n)(7 + -1n) = 98

Reorder the terms:
(7 + p)(7 + p) + (7 + -1n)(7 + -1n) = 98

Multiply (7 + p) * (7 + p)
(7(7 + p) + p(7 + p)) + (7 + -1n)(7 + -1n) = 98
((7 * 7 + p * 7) + p(7 + p)) + (7 + -1n)(7 + -1n) = 98
((49 + 7p) + p(7 + p)) + (7 + -1n)(7 + -1n) = 98
(49 + 7p + (7 * p + p * p)) + (7 + -1n)(7 + -1n) = 98
(49 + 7p + (7p + p2)) + (7 + -1n)(7 + -1n) = 98

Combine like terms: 7p + 7p = 14p
(49 + 14p + p2) + (7 + -1n)(7 + -1n) = 98

Multiply (7 + -1n) * (7 + -1n)
49 + 14p + p2 + (7(7 + -1n) + -1n * (7 + -1n)) = 98
49 + 14p + p2 + ((7 * 7 + -1n * 7) + -1n * (7 + -1n)) = 98
49 + 14p + p2 + ((49 + -7n) + -1n * (7 + -1n)) = 98
49 + 14p + p2 + (49 + -7n + (7 * -1n + -1n * -1n)) = 98
49 + 14p + p2 + (49 + -7n + (-7n + 1n2)) = 98

Combine like terms: -7n + -7n = -14n
49 + 14p + p2 + (49 + -14n + 1n2) = 98

Reorder the terms:
49 + 49 + -14n + 1n2 + 14p + p2 = 98

Combine like terms: 49 + 49 = 98
98 + -14n + 1n2 + 14p + p2 = 98

Add '-98' to each side of the equation.
98 + -14n + 1n2 + 14p + -98 + p2 = 98 + -98

Reorder the terms:
98 + -98 + -14n + 1n2 + 14p + p2 = 98 + -98

Combine like terms: 98 + -98 = 0
0 + -14n + 1n2 + 14p + p2 = 98 + -98
-14n + 1n2 + 14p + p2 = 98 + -98

Combine like terms: 98 + -98 = 0
-14n + 1n2 + 14p + p2 = 0

Solving
-14n + 1n2 + 14p + p2 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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