81x^2+108x+64=0

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Solution for 81x^2+108x+64=0 equation:


Simplifying
81x2 + 108x + 64 = 0

Reorder the terms:
64 + 108x + 81x2 = 0

Solving
64 + 108x + 81x2 = 0

Solving for variable 'x'.

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

Divide each side by '81'.
0.7901234568 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-0.7901234568' to each side of the equation.
0.7901234568 + 1.333333333x + -0.7901234568 + x2 = 0 + -0.7901234568

Reorder the terms:
0.7901234568 + -0.7901234568 + 1.333333333x + x2 = 0 + -0.7901234568

Combine like terms: 0.7901234568 + -0.7901234568 = 0.0000000000
0.0000000000 + 1.333333333x + x2 = 0 + -0.7901234568
1.333333333x + x2 = 0 + -0.7901234568

Combine like terms: 0 + -0.7901234568 = -0.7901234568
1.333333333x + x2 = -0.7901234568

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -0.7901234568 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -0.7901234568 + 0.4444444442

Combine like terms: -0.7901234568 + 0.4444444442 = -0.3456790126
0.4444444442 + 1.333333333x + x2 = -0.3456790126

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -0.3456790126

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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