18x^2-24x+87=0

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Solution for 18x^2-24x+87=0 equation: 


Simplifying
18x2 + -24x + 87 = 0

Reorder the terms:
87 + -24x + 18x2 = 0

Solving
87 + -24x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(29 + -8x + 6x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(29 + -8x + 6x2)' equal to zero and attempt to solve:

Simplifying
29 + -8x + 6x2 = 0

Solving
29 + -8x + 6x2 = 0

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

Divide each side by '6'.
4.833333333 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-4.833333333' to each side of the equation.
4.833333333 + -1.333333333x + -4.833333333 + x2 = 0 + -4.833333333

Reorder the terms:
4.833333333 + -4.833333333 + -1.333333333x + x2 = 0 + -4.833333333

Combine like terms: 4.833333333 + -4.833333333 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -4.833333333
-1.333333333x + x2 = 0 + -4.833333333

Combine like terms: 0 + -4.833333333 = -4.833333333
-1.333333333x + x2 = -4.833333333

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 = -4.833333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -4.833333333 + 0.4444444442

Combine like terms: -4.833333333 + 0.4444444442 = -4.3888888888
0.4444444442 + -1.333333333x + x2 = -4.3888888888

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -4.3888888888

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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