n^2+2n-3=-129

Solution for n^2+2n-3=-129 equation:

Simplifying
n2 + 2n + -3 = -129

Reorder the terms:
-3 + 2n + n2 = -129

Solving
-3 + 2n + n2 = -129

Solving for variable 'n'.

Reorder the terms:
-3 + 129 + 2n + n2 = -129 + 129

Combine like terms: -3 + 129 = 126
126 + 2n + n2 = -129 + 129

Combine like terms: -129 + 129 = 0
126 + 2n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-126' to each side of the equation.
126 + 2n + -126 + n2 = 0 + -126

Reorder the terms:
126 + -126 + 2n + n2 = 0 + -126

Combine like terms: 126 + -126 = 0
0 + 2n + n2 = 0 + -126
2n + n2 = 0 + -126

Combine like terms: 0 + -126 = -126
2n + n2 = -126

The n term is 2n.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2n + 1 + n2 = -126 + 1

Reorder the terms:
1 + 2n + n2 = -126 + 1

Combine like terms: -126 + 1 = -125
1 + 2n + n2 = -125

Factor a perfect square on the left side:
(n + 1)(n + 1) = -125

Can't calculate square root of the right side.

The solution to this equation could not be determined.