5n+7n(7n-1)=-233

Solution for 5n+7n(7n-1)=-233 equation:

Simplifying
5n + 7n(7n + -1) = -233

Reorder the terms:
5n + 7n(-1 + 7n) = -233
5n + (-1 * 7n + 7n * 7n) = -233
5n + (-7n + 49n2) = -233

Combine like terms: 5n + -7n = -2n
-2n + 49n2 = -233

Solving
-2n + 49n2 = -233

Solving for variable 'n'.

Reorder the terms:
233 + -2n + 49n2 = -233 + 233

Combine like terms: -233 + 233 = 0
233 + -2n + 49n2 = 0

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

Divide each side by '49'.
4.755102041 + -0.04081632653n + n2 = 0

Move the constant term to the right:

Add '-4.755102041' to each side of the equation.
4.755102041 + -0.04081632653n + -4.755102041 + n2 = 0 + -4.755102041

Reorder the terms:
4.755102041 + -4.755102041 + -0.04081632653n + n2 = 0 + -4.755102041

Combine like terms: 4.755102041 + -4.755102041 = 0.000000000
0.000000000 + -0.04081632653n + n2 = 0 + -4.755102041
-0.04081632653n + n2 = 0 + -4.755102041

Combine like terms: 0 + -4.755102041 = -4.755102041
-0.04081632653n + n2 = -4.755102041

The n term is -0.04081632653n.  Take half its coefficient (-0.02040816327).
Square it (0.0004164931281) and add it to both sides.

Add '0.0004164931281' to each side of the equation.
-0.04081632653n + 0.0004164931281 + n2 = -4.755102041 + 0.0004164931281

Reorder the terms:
0.0004164931281 + -0.04081632653n + n2 = -4.755102041 + 0.0004164931281

Combine like terms: -4.755102041 + 0.0004164931281 = -4.7546855478719
0.0004164931281 + -0.04081632653n + n2 = -4.7546855478719

Factor a perfect square on the left side:
(n + -0.02040816327)(n + -0.02040816327) = -4.7546855478719

Can't calculate square root of the right side.

The solution to this equation could not be determined.