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

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


Simplifying
2x3 + -4x + 3x + -6 = 4 + (x + -2)(x + 2)

Reorder the terms:
-6 + -4x + 3x + 2x3 = 4 + (x + -2)(x + 2)

Combine like terms: -4x + 3x = -1x
-6 + -1x + 2x3 = 4 + (x + -2)(x + 2)

Reorder the terms:
-6 + -1x + 2x3 = 4 + (-2 + x)(x + 2)

Reorder the terms:
-6 + -1x + 2x3 = 4 + (-2 + x)(2 + x)

Multiply (-2 + x) * (2 + x)
-6 + -1x + 2x3 = 4 + (-2(2 + x) + x(2 + x))
-6 + -1x + 2x3 = 4 + ((2 * -2 + x * -2) + x(2 + x))
-6 + -1x + 2x3 = 4 + ((-4 + -2x) + x(2 + x))
-6 + -1x + 2x3 = 4 + (-4 + -2x + (2 * x + x * x))
-6 + -1x + 2x3 = 4 + (-4 + -2x + (2x + x2))

Combine like terms: -2x + 2x = 0
-6 + -1x + 2x3 = 4 + (-4 + 0 + x2)
-6 + -1x + 2x3 = 4 + (-4 + x2)

Combine like terms: 4 + -4 = 0
-6 + -1x + 2x3 = 0 + x2
-6 + -1x + 2x3 = x2

Solving
-6 + -1x + 2x3 = x2

Solving for variable 'x'.

Reorder the terms:
-6 + -1x + -1x2 + 2x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + -1x + -1x2 + 2x3 = 0

The solution to this equation could not be determined.

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