(X^2+4x+1)(x^2-9)=0

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Solution for (X^2+4x+1)(x^2-9)=0 equation: 


Simplifying
(X2 + 4x + 1)(x2 + -9) = 0

Reorder the terms:
(1 + X2 + 4x)(x2 + -9) = 0

Reorder the terms:
(1 + X2 + 4x)(-9 + x2) = 0

Multiply (1 + X2 + 4x) * (-9 + x2)
(1(-9 + x2) + X2(-9 + x2) + 4x * (-9 + x2)) = 0
((-9 * 1 + x2 * 1) + X2(-9 + x2) + 4x * (-9 + x2)) = 0
((-9 + 1x2) + X2(-9 + x2) + 4x * (-9 + x2)) = 0
(-9 + 1x2 + (-9 * X2 + x2 * X2) + 4x * (-9 + x2)) = 0
(-9 + 1x2 + (-9X2 + x2X2) + 4x * (-9 + x2)) = 0
(-9 + 1x2 + -9X2 + x2X2 + (-9 * 4x + x2 * 4x)) = 0
(-9 + 1x2 + -9X2 + x2X2 + (-36x + 4x3)) = 0

Reorder the terms:
(-9 + -9X2 + -36x + 1x2 + x2X2 + 4x3) = 0
(-9 + -9X2 + -36x + 1x2 + x2X2 + 4x3) = 0

Solving
-9 + -9X2 + -36x + 1x2 + x2X2 + 4x3 = 0

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 + -9X2 + -36x + 1x2 + x2X2 + 9 + 4x3 = 0 + 9

Reorder the terms:
-9 + 9 + -9X2 + -36x + 1x2 + x2X2 + 4x3 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -9X2 + -36x + 1x2 + x2X2 + 4x3 = 0 + 9
-9X2 + -36x + 1x2 + x2X2 + 4x3 = 0 + 9

Combine like terms: 0 + 9 = 9
-9X2 + -36x + 1x2 + x2X2 + 4x3 = 9

Add '36x' to each side of the equation.
-9X2 + -36x + 1x2 + x2X2 + 36x + 4x3 = 9 + 36x

Reorder the terms:
-9X2 + -36x + 36x + 1x2 + x2X2 + 4x3 = 9 + 36x

Combine like terms: -36x + 36x = 0
-9X2 + 0 + 1x2 + x2X2 + 4x3 = 9 + 36x
-9X2 + 1x2 + x2X2 + 4x3 = 9 + 36x

Add '-1x2' to each side of the equation.
-9X2 + 1x2 + x2X2 + -1x2 + 4x3 = 9 + 36x + -1x2

Reorder the terms:
-9X2 + 1x2 + -1x2 + x2X2 + 4x3 = 9 + 36x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-9X2 + 0 + x2X2 + 4x3 = 9 + 36x + -1x2
-9X2 + x2X2 + 4x3 = 9 + 36x + -1x2

Add '-4x3' to each side of the equation.
-9X2 + x2X2 + 4x3 + -4x3 = 9 + 36x + -1x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-9X2 + x2X2 + 0 = 9 + 36x + -1x2 + -4x3
-9X2 + x2X2 = 9 + 36x + -1x2 + -4x3

Reorder the terms:
-9 + -9X2 + -36x + x2 + x2X2 + 4x3 = 9 + 36x + -1x2 + -4x3 + -9 + -36x + x2 + 4x3

Reorder the terms:
-9 + -9X2 + -36x + x2 + x2X2 + 4x3 = 9 + -9 + 36x + -36x + -1x2 + x2 + -4x3 + 4x3

Combine like terms: 9 + -9 = 0
-9 + -9X2 + -36x + x2 + x2X2 + 4x3 = 0 + 36x + -36x + -1x2 + x2 + -4x3 + 4x3
-9 + -9X2 + -36x + x2 + x2X2 + 4x3 = 36x + -36x + -1x2 + x2 + -4x3 + 4x3

Combine like terms: 36x + -36x = 0
-9 + -9X2 + -36x + x2 + x2X2 + 4x3 = 0 + -1x2 + x2 + -4x3 + 4x3
-9 + -9X2 + -36x + x2 + x2X2 + 4x3 = -1x2 + x2 + -4x3 + 4x3

Combine like terms: -1x2 + x2 = 0
-9 + -9X2 + -36x + x2 + x2X2 + 4x3 = 0 + -4x3 + 4x3
-9 + -9X2 + -36x + x2 + x2X2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-9 + -9X2 + -36x + x2 + x2X2 + 4x3 = 0

The solution to this equation could not be determined.

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