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

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


Simplifying
2x2 + 2x + -4 = (x2 + -4)(3x + 6)

Reorder the terms:
-4 + 2x + 2x2 = (x2 + -4)(3x + 6)

Reorder the terms:
-4 + 2x + 2x2 = (-4 + x2)(3x + 6)

Reorder the terms:
-4 + 2x + 2x2 = (-4 + x2)(6 + 3x)

Multiply (-4 + x2) * (6 + 3x)
-4 + 2x + 2x2 = (-4(6 + 3x) + x2(6 + 3x))
-4 + 2x + 2x2 = ((6 * -4 + 3x * -4) + x2(6 + 3x))
-4 + 2x + 2x2 = ((-24 + -12x) + x2(6 + 3x))
-4 + 2x + 2x2 = (-24 + -12x + (6 * x2 + 3x * x2))
-4 + 2x + 2x2 = (-24 + -12x + (6x2 + 3x3))
-4 + 2x + 2x2 = (-24 + -12x + 6x2 + 3x3)

Solving
-4 + 2x + 2x2 = -24 + -12x + 6x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-4 + 24 + 2x + 12x + 2x2 + -6x2 + -3x3 = -24 + -12x + 6x2 + 3x3 + 24 + 12x + -6x2 + -3x3

Combine like terms: -4 + 24 = 20
20 + 2x + 12x + 2x2 + -6x2 + -3x3 = -24 + -12x + 6x2 + 3x3 + 24 + 12x + -6x2 + -3x3

Combine like terms: 2x + 12x = 14x
20 + 14x + 2x2 + -6x2 + -3x3 = -24 + -12x + 6x2 + 3x3 + 24 + 12x + -6x2 + -3x3

Combine like terms: 2x2 + -6x2 = -4x2
20 + 14x + -4x2 + -3x3 = -24 + -12x + 6x2 + 3x3 + 24 + 12x + -6x2 + -3x3

Reorder the terms:
20 + 14x + -4x2 + -3x3 = -24 + 24 + -12x + 12x + 6x2 + -6x2 + 3x3 + -3x3

Combine like terms: -24 + 24 = 0
20 + 14x + -4x2 + -3x3 = 0 + -12x + 12x + 6x2 + -6x2 + 3x3 + -3x3
20 + 14x + -4x2 + -3x3 = -12x + 12x + 6x2 + -6x2 + 3x3 + -3x3

Combine like terms: -12x + 12x = 0
20 + 14x + -4x2 + -3x3 = 0 + 6x2 + -6x2 + 3x3 + -3x3
20 + 14x + -4x2 + -3x3 = 6x2 + -6x2 + 3x3 + -3x3

Combine like terms: 6x2 + -6x2 = 0
20 + 14x + -4x2 + -3x3 = 0 + 3x3 + -3x3
20 + 14x + -4x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
20 + 14x + -4x2 + -3x3 = 0

The solution to this equation could not be determined.

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