6x^4-3x^2-3=(2x^2+1)(3x^2-3)

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Solution for 6x^4-3x^2-3=(2x^2+1)(3x^2-3) equation: 


Simplifying
6x4 + -3x2 + -3 = (2x2 + 1)(3x2 + -3)

Reorder the terms:
-3 + -3x2 + 6x4 = (2x2 + 1)(3x2 + -3)

Reorder the terms:
-3 + -3x2 + 6x4 = (1 + 2x2)(3x2 + -3)

Reorder the terms:
-3 + -3x2 + 6x4 = (1 + 2x2)(-3 + 3x2)

Multiply (1 + 2x2) * (-3 + 3x2)
-3 + -3x2 + 6x4 = (1(-3 + 3x2) + 2x2 * (-3 + 3x2))
-3 + -3x2 + 6x4 = ((-3 * 1 + 3x2 * 1) + 2x2 * (-3 + 3x2))
-3 + -3x2 + 6x4 = ((-3 + 3x2) + 2x2 * (-3 + 3x2))
-3 + -3x2 + 6x4 = (-3 + 3x2 + (-3 * 2x2 + 3x2 * 2x2))
-3 + -3x2 + 6x4 = (-3 + 3x2 + (-6x2 + 6x4))

Combine like terms: 3x2 + -6x2 = -3x2
-3 + -3x2 + 6x4 = (-3 + -3x2 + 6x4)

Add '3' to each side of the equation.
-3 + -3x2 + 3 + 6x4 = -3 + -3x2 + 3 + 6x4

Reorder the terms:
-3 + 3 + -3x2 + 6x4 = -3 + -3x2 + 3 + 6x4

Combine like terms: -3 + 3 = 0
0 + -3x2 + 6x4 = -3 + -3x2 + 3 + 6x4
-3x2 + 6x4 = -3 + -3x2 + 3 + 6x4

Reorder the terms:
-3x2 + 6x4 = -3 + 3 + -3x2 + 6x4

Combine like terms: -3 + 3 = 0
-3x2 + 6x4 = 0 + -3x2 + 6x4
-3x2 + 6x4 = -3x2 + 6x4

Add '3x2' to each side of the equation.
-3x2 + 3x2 + 6x4 = -3x2 + 3x2 + 6x4

Combine like terms: -3x2 + 3x2 = 0
0 + 6x4 = -3x2 + 3x2 + 6x4
6x4 = -3x2 + 3x2 + 6x4

Combine like terms: -3x2 + 3x2 = 0
6x4 = 0 + 6x4
6x4 = 6x4

Add '-6x4' to each side of the equation.
6x4 + -6x4 = 6x4 + -6x4

Combine like terms: 6x4 + -6x4 = 0
0 = 6x4 + -6x4

Combine like terms: 6x4 + -6x4 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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