(x+7)(x+2)-n(n+5)=66

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Solution for (x+7)(x+2)-n(n+5)=66 equation: 


Simplifying
(x + 7)(x + 2) + -1n(n + 5) = 66

Reorder the terms:
(7 + x)(x + 2) + -1n(n + 5) = 66

Reorder the terms:
(7 + x)(2 + x) + -1n(n + 5) = 66

Multiply (7 + x) * (2 + x)
(7(2 + x) + x(2 + x)) + -1n(n + 5) = 66
((2 * 7 + x * 7) + x(2 + x)) + -1n(n + 5) = 66
((14 + 7x) + x(2 + x)) + -1n(n + 5) = 66
(14 + 7x + (2 * x + x * x)) + -1n(n + 5) = 66
(14 + 7x + (2x + x2)) + -1n(n + 5) = 66

Combine like terms: 7x + 2x = 9x
(14 + 9x + x2) + -1n(n + 5) = 66

Reorder the terms:
14 + 9x + x2 + -1n(5 + n) = 66
14 + 9x + x2 + (5 * -1n + n * -1n) = 66
14 + 9x + x2 + (-5n + -1n2) = 66

Reorder the terms:
14 + -5n + -1n2 + 9x + x2 = 66

Solving
14 + -5n + -1n2 + 9x + x2 = 66

Solving for variable 'n'.

Reorder the terms:
14 + -66 + -5n + -1n2 + 9x + x2 = 66 + -66

Combine like terms: 14 + -66 = -52
-52 + -5n + -1n2 + 9x + x2 = 66 + -66

Combine like terms: 66 + -66 = 0
-52 + -5n + -1n2 + 9x + x2 = 0

The solution to this equation could not be determined.

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