n^2+3n-7=-7

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Solution for n^2+3n-7=-7 equation: 


Simplifying
n2 + 3n + -7 = -7

Reorder the terms:
-7 + 3n + n2 = -7

Add '7' to each side of the equation.
-7 + 3n + 7 + n2 = -7 + 7

Reorder the terms:
-7 + 7 + 3n + n2 = -7 + 7

Combine like terms: -7 + 7 = 0
0 + 3n + n2 = -7 + 7
3n + n2 = -7 + 7

Combine like terms: -7 + 7 = 0
3n + n2 = 0

Solving
3n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(3 + n) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n = 0

Subproblem 2
Set the factor '(3 + n)' equal to zero and attempt to solve:

Simplifying
3 + n = 0

Solving
3 + n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + n = 0 + -3
n = 0 + -3

Combine like terms: 0 + -3 = -3
n = -3

Simplifying
n = -3
Solution
n = {0, -3}

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