(X^2-3X+9)(X^2+3X+9)=0

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Solution for (X^2-3X+9)(X^2+3X+9)=0 equation: 


Simplifying
(X2 + -3X + 9)(X2 + 3X + 9) = 0

Reorder the terms:
(9 + -3X + X2)(X2 + 3X + 9) = 0

Reorder the terms:
(9 + -3X + X2)(9 + 3X + X2) = 0

Multiply (9 + -3X + X2) * (9 + 3X + X2)
(9(9 + 3X + X2) + -3X * (9 + 3X + X2) + X2(9 + 3X + X2)) = 0
((9 * 9 + 3X * 9 + X2 * 9) + -3X * (9 + 3X + X2) + X2(9 + 3X + X2)) = 0
((81 + 27X + 9X2) + -3X * (9 + 3X + X2) + X2(9 + 3X + X2)) = 0
(81 + 27X + 9X2 + (9 * -3X + 3X * -3X + X2 * -3X) + X2(9 + 3X + X2)) = 0
(81 + 27X + 9X2 + (-27X + -9X2 + -3X3) + X2(9 + 3X + X2)) = 0
(81 + 27X + 9X2 + -27X + -9X2 + -3X3 + (9 * X2 + 3X * X2 + X2 * X2)) = 0
(81 + 27X + 9X2 + -27X + -9X2 + -3X3 + (9X2 + 3X3 + X4)) = 0

Reorder the terms:
(81 + 27X + -27X + 9X2 + -9X2 + 9X2 + -3X3 + 3X3 + X4) = 0

Combine like terms: 27X + -27X = 0
(81 + 0 + 9X2 + -9X2 + 9X2 + -3X3 + 3X3 + X4) = 0
(81 + 9X2 + -9X2 + 9X2 + -3X3 + 3X3 + X4) = 0

Combine like terms: 9X2 + -9X2 = 0
(81 + 0 + 9X2 + -3X3 + 3X3 + X4) = 0
(81 + 9X2 + -3X3 + 3X3 + X4) = 0

Combine like terms: -3X3 + 3X3 = 0
(81 + 9X2 + 0 + X4) = 0
(81 + 9X2 + X4) = 0

Solving
81 + 9X2 + X4 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-81' to each side of the equation.
81 + 9X2 + -81 + X4 = 0 + -81

Reorder the terms:
81 + -81 + 9X2 + X4 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + 9X2 + X4 = 0 + -81
9X2 + X4 = 0 + -81

Combine like terms: 0 + -81 = -81
9X2 + X4 = -81

The X term is 9X2.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9X2 + 20.25 + X4 = -81 + 20.25

Reorder the terms:
20.25 + 9X2 + X4 = -81 + 20.25

Combine like terms: -81 + 20.25 = -60.75
20.25 + 9X2 + X4 = -60.75

Factor a perfect square on the left side:
(X2 + 4.5)(X2 + 4.5) = -60.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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