((X^2)-3)((x^2)-3)=27

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Solution for ((X^2)-3)((x^2)-3)=27 equation:


Simplifying
((X2) + -3)((x2) + -3) = 27
(X2 + -3)((x2) + -3) = 27

Reorder the terms:
(-3 + X2)((x2) + -3) = 27
(-3 + X2)(x2 + -3) = 27

Reorder the terms:
(-3 + X2)(-3 + x2) = 27

Multiply (-3 + X2) * (-3 + x2)
(-3(-3 + x2) + X2(-3 + x2)) = 27
((-3 * -3 + x2 * -3) + X2(-3 + x2)) = 27
((9 + -3x2) + X2(-3 + x2)) = 27
(9 + -3x2 + (-3 * X2 + x2 * X2)) = 27
(9 + -3x2 + (-3X2 + x2X2)) = 27

Reorder the terms:
(9 + -3X2 + -3x2 + x2X2) = 27
(9 + -3X2 + -3x2 + x2X2) = 27

Solving
9 + -3X2 + -3x2 + x2X2 = 27

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -3X2 + -3x2 + -9 + x2X2 = 27 + -9

Reorder the terms:
9 + -9 + -3X2 + -3x2 + x2X2 = 27 + -9

Combine like terms: 9 + -9 = 0
0 + -3X2 + -3x2 + x2X2 = 27 + -9
-3X2 + -3x2 + x2X2 = 27 + -9

Combine like terms: 27 + -9 = 18
-3X2 + -3x2 + x2X2 = 18

Add '3x2' to each side of the equation.
-3X2 + -3x2 + 3x2 + x2X2 = 18 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-3X2 + 0 + x2X2 = 18 + 3x2
-3X2 + x2X2 = 18 + 3x2

Reorder the terms:
-18 + -3X2 + -3x2 + x2X2 = 18 + 3x2 + -18 + -3x2

Reorder the terms:
-18 + -3X2 + -3x2 + x2X2 = 18 + -18 + 3x2 + -3x2

Combine like terms: 18 + -18 = 0
-18 + -3X2 + -3x2 + x2X2 = 0 + 3x2 + -3x2
-18 + -3X2 + -3x2 + x2X2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-18 + -3X2 + -3x2 + x2X2 = 0

The solution to this equation could not be determined.

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