18x^2+72x+82=0

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Solution for 18x^2+72x+82=0 equation: 


Simplifying
18x2 + 72x + 82 = 0

Reorder the terms:
82 + 72x + 18x2 = 0

Solving
82 + 72x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(41 + 36x + 9x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(41 + 36x + 9x2)' equal to zero and attempt to solve:

Simplifying
41 + 36x + 9x2 = 0

Solving
41 + 36x + 9x2 = 0

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

Divide each side by '9'.
4.555555556 + 4x + x2 = 0

Move the constant term to the right:

Add '-4.555555556' to each side of the equation.
4.555555556 + 4x + -4.555555556 + x2 = 0 + -4.555555556

Reorder the terms:
4.555555556 + -4.555555556 + 4x + x2 = 0 + -4.555555556

Combine like terms: 4.555555556 + -4.555555556 = 0.000000000
0.000000000 + 4x + x2 = 0 + -4.555555556
4x + x2 = 0 + -4.555555556

Combine like terms: 0 + -4.555555556 = -4.555555556
4x + x2 = -4.555555556

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -4.555555556 + 4

Reorder the terms:
4 + 4x + x2 = -4.555555556 + 4

Combine like terms: -4.555555556 + 4 = -0.555555556
4 + 4x + x2 = -0.555555556

Factor a perfect square on the left side:
(x + 2)(x + 2) = -0.555555556

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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