(X^2-3)(x^2+3x-4)=0

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Solution for (X^2-3)(x^2+3x-4)=0 equation:


Simplifying
(X2 + -3)(x2 + 3x + -4) = 0

Reorder the terms:
(-3 + X2)(x2 + 3x + -4) = 0

Reorder the terms:
(-3 + X2)(-4 + 3x + x2) = 0

Multiply (-3 + X2) * (-4 + 3x + x2)
(-3(-4 + 3x + x2) + X2(-4 + 3x + x2)) = 0
((-4 * -3 + 3x * -3 + x2 * -3) + X2(-4 + 3x + x2)) = 0
((12 + -9x + -3x2) + X2(-4 + 3x + x2)) = 0
(12 + -9x + -3x2 + (-4 * X2 + 3x * X2 + x2 * X2)) = 0
(12 + -9x + -3x2 + (-4X2 + 3xX2 + x2X2)) = 0

Reorder the terms:
(12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2) = 0
(12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2) = 0

Solving
12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = 0

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + -4X2 + -9x + 3xX2 + -3x2 + -12 + x2X2 = 0 + -12

Reorder the terms:
12 + -12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = 0 + -12
-4X2 + -9x + 3xX2 + -3x2 + x2X2 = 0 + -12

Combine like terms: 0 + -12 = -12
-4X2 + -9x + 3xX2 + -3x2 + x2X2 = -12

Add '9x' to each side of the equation.
-4X2 + -9x + 3xX2 + -3x2 + 9x + x2X2 = -12 + 9x

Reorder the terms:
-4X2 + -9x + 9x + 3xX2 + -3x2 + x2X2 = -12 + 9x

Combine like terms: -9x + 9x = 0
-4X2 + 0 + 3xX2 + -3x2 + x2X2 = -12 + 9x
-4X2 + 3xX2 + -3x2 + x2X2 = -12 + 9x

Add '3x2' to each side of the equation.
-4X2 + 3xX2 + -3x2 + 3x2 + x2X2 = -12 + 9x + 3x2

Combine like terms: -3x2 + 3x2 = 0
-4X2 + 3xX2 + 0 + x2X2 = -12 + 9x + 3x2
-4X2 + 3xX2 + x2X2 = -12 + 9x + 3x2

Reorder the terms:
12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = -12 + 9x + 3x2 + 12 + -9x + -3x2

Reorder the terms:
12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = -12 + 12 + 9x + -9x + 3x2 + -3x2

Combine like terms: -12 + 12 = 0
12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = 0 + 9x + -9x + 3x2 + -3x2
12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = 9x + -9x + 3x2 + -3x2

Combine like terms: 9x + -9x = 0
12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = 0 + 3x2 + -3x2
12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
12 + -4X2 + -9x + 3xX2 + -3x2 + x2X2 = 0

The solution to this equation could not be determined.

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