82x^2+162x+81=0

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Solution for 82x^2+162x+81=0 equation:


Simplifying
82x2 + 162x + 81 = 0

Reorder the terms:
81 + 162x + 82x2 = 0

Solving
81 + 162x + 82x2 = 0

Solving for variable 'x'.

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

Divide each side by '82'.
0.987804878 + 1.975609756x + x2 = 0

Move the constant term to the right:

Add '-0.987804878' to each side of the equation.
0.987804878 + 1.975609756x + -0.987804878 + x2 = 0 + -0.987804878

Reorder the terms:
0.987804878 + -0.987804878 + 1.975609756x + x2 = 0 + -0.987804878

Combine like terms: 0.987804878 + -0.987804878 = 0.000000000
0.000000000 + 1.975609756x + x2 = 0 + -0.987804878
1.975609756x + x2 = 0 + -0.987804878

Combine like terms: 0 + -0.987804878 = -0.987804878
1.975609756x + x2 = -0.987804878

The x term is 1.975609756x.  Take half its coefficient (0.987804878).
Square it (0.9757584770) and add it to both sides.

Add '0.9757584770' to each side of the equation.
1.975609756x + 0.9757584770 + x2 = -0.987804878 + 0.9757584770

Reorder the terms:
0.9757584770 + 1.975609756x + x2 = -0.987804878 + 0.9757584770

Combine like terms: -0.987804878 + 0.9757584770 = -0.012046401
0.9757584770 + 1.975609756x + x2 = -0.012046401

Factor a perfect square on the left side:
(x + 0.987804878)(x + 0.987804878) = -0.012046401

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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