864x^2-72x+1728=0

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Solution for 864x^2-72x+1728=0 equation: 


Simplifying
864x2 + -72x + 1728 = 0

Reorder the terms:
1728 + -72x + 864x2 = 0

Solving
1728 + -72x + 864x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '72'.
72(24 + -1x + 12x2) = 0

Ignore the factor 72.

Subproblem 1
Set the factor '(24 + -1x + 12x2)' equal to zero and attempt to solve:

Simplifying
24 + -1x + 12x2 = 0

Solving
24 + -1x + 12x2 = 0

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

Divide each side by '12'.
2 + -0.08333333333x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -0.08333333333x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -0.08333333333x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.08333333333x + x2 = 0 + -2
-0.08333333333x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-0.08333333333x + x2 = -2

The x term is -0.08333333333x.  Take half its coefficient (-0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
-0.08333333333x + 0.001736111111 + x2 = -2 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333x + x2 = -2 + 0.001736111111

Combine like terms: -2 + 0.001736111111 = -1.998263888889
0.001736111111 + -0.08333333333x + x2 = -1.998263888889

Factor a perfect square on the left side:
(x + -0.04166666667)(x + -0.04166666667) = -1.998263888889

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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