1234n+1234n-1234n*1234n=1234

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Solution for 1234n+1234n-1234n*1234n=1234 equation: 


Simplifying
1234n + 1234n + -1234n * 1234n = 1234

Reorder the terms for easier multiplication:
1234n + 1234n + -1234 * 1234n * n = 1234

Multiply -1234 * 1234
1234n + 1234n + -1522756n * n = 1234

Multiply n * n
1234n + 1234n + -1522756n2 = 1234

Combine like terms: 1234n + 1234n = 2468n
2468n + -1522756n2 = 1234

Solving
2468n + -1522756n2 = 1234

Solving for variable 'n'.

Reorder the terms:
-1234 + 2468n + -1522756n2 = 1234 + -1234

Combine like terms: 1234 + -1234 = 0
-1234 + 2468n + -1522756n2 = 0

Factor out the Greatest Common Factor (GCF), '1234'.
1234(-1 + 2n + -1234n2) = 0

Ignore the factor 1234.

Subproblem 1
Set the factor '(-1 + 2n + -1234n2)' equal to zero and attempt to solve:

Simplifying
-1 + 2n + -1234n2 = 0

Solving
-1 + 2n + -1234n2 = 0

Begin completing the square.  Divide all terms by
-1234 the coefficient of the squared term: 

Divide each side by '-1234'.
0.0008103727715 + -0.001620745543n + n2 = 0

Move the constant term to the right:

Add '-0.0008103727715' to each side of the equation.
0.0008103727715 + -0.001620745543n + -0.0008103727715 + n2 = 0 + -0.0008103727715

Reorder the terms:
0.0008103727715 + -0.0008103727715 + -0.001620745543n + n2 = 0 + -0.0008103727715

Combine like terms: 0.0008103727715 + -0.0008103727715 = 0.0000000000000
0.0000000000000 + -0.001620745543n + n2 = 0 + -0.0008103727715
-0.001620745543n + n2 = 0 + -0.0008103727715

Combine like terms: 0 + -0.0008103727715 = -0.0008103727715
-0.001620745543n + n2 = -0.0008103727715

The n term is -0.001620745543n.  Take half its coefficient (-0.0008103727715).
Square it (0.0000006567040288) and add it to both sides.

Add '0.0000006567040288' to each side of the equation.
-0.001620745543n + 0.0000006567040288 + n2 = -0.0008103727715 + 0.0000006567040288

Reorder the terms:
0.0000006567040288 + -0.001620745543n + n2 = -0.0008103727715 + 0.0000006567040288

Combine like terms: -0.0008103727715 + 0.0000006567040288 = -0.0008097160674712
0.0000006567040288 + -0.001620745543n + n2 = -0.0008097160674712

Factor a perfect square on the left side:
(n + -0.0008103727715)(n + -0.0008103727715) = -0.0008097160674712

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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