(n+7)(n-2)-n(n+5)=67

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Solution for (n+7)(n-2)-n(n+5)=67 equation:


Simplifying
(n + 7)(n + -2) + -1n(n + 5) = 67

Reorder the terms:
(7 + n)(n + -2) + -1n(n + 5) = 67

Reorder the terms:
(7 + n)(-2 + n) + -1n(n + 5) = 67

Multiply (7 + n) * (-2 + n)
(7(-2 + n) + n(-2 + n)) + -1n(n + 5) = 67
((-2 * 7 + n * 7) + n(-2 + n)) + -1n(n + 5) = 67
((-14 + 7n) + n(-2 + n)) + -1n(n + 5) = 67
(-14 + 7n + (-2 * n + n * n)) + -1n(n + 5) = 67
(-14 + 7n + (-2n + n2)) + -1n(n + 5) = 67

Combine like terms: 7n + -2n = 5n
(-14 + 5n + n2) + -1n(n + 5) = 67

Reorder the terms:
-14 + 5n + n2 + -1n(5 + n) = 67
-14 + 5n + n2 + (5 * -1n + n * -1n) = 67
-14 + 5n + n2 + (-5n + -1n2) = 67

Reorder the terms:
-14 + 5n + -5n + n2 + -1n2 = 67

Combine like terms: 5n + -5n = 0
-14 + 0 + n2 + -1n2 = 67
-14 + n2 + -1n2 = 67

Combine like terms: n2 + -1n2 = 0
-14 + 0 = 67
-14 = 67

Solving
-14 = 67

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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