(6-3x)(x^2+2)-24=(2x-4)(3x+2)-3x^2

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Solution for (6-3x)(x^2+2)-24=(2x-4)(3x+2)-3x^2 equation: 


Simplifying
(6 + -3x)(x2 + 2) + -24 = (2x + -4)(3x + 2) + -3x2

Reorder the terms:
(6 + -3x)(2 + x2) + -24 = (2x + -4)(3x + 2) + -3x2

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

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

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

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

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

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

Multiply (-4 + 2x) * (2 + 3x)
-12 + -6x + 6x2 + -3x3 = (-4(2 + 3x) + 2x * (2 + 3x)) + -3x2
-12 + -6x + 6x2 + -3x3 = ((2 * -4 + 3x * -4) + 2x * (2 + 3x)) + -3x2
-12 + -6x + 6x2 + -3x3 = ((-8 + -12x) + 2x * (2 + 3x)) + -3x2
-12 + -6x + 6x2 + -3x3 = (-8 + -12x + (2 * 2x + 3x * 2x)) + -3x2
-12 + -6x + 6x2 + -3x3 = (-8 + -12x + (4x + 6x2)) + -3x2

Combine like terms: -12x + 4x = -8x
-12 + -6x + 6x2 + -3x3 = (-8 + -8x + 6x2) + -3x2

Combine like terms: 6x2 + -3x2 = 3x2
-12 + -6x + 6x2 + -3x3 = -8 + -8x + 3x2

Solving
-12 + -6x + 6x2 + -3x3 = -8 + -8x + 3x2

Solving for variable 'x'.

Reorder the terms:
-12 + 8 + -6x + 8x + 6x2 + -3x2 + -3x3 = -8 + -8x + 3x2 + 8 + 8x + -3x2

Combine like terms: -12 + 8 = -4
-4 + -6x + 8x + 6x2 + -3x2 + -3x3 = -8 + -8x + 3x2 + 8 + 8x + -3x2

Combine like terms: -6x + 8x = 2x
-4 + 2x + 6x2 + -3x2 + -3x3 = -8 + -8x + 3x2 + 8 + 8x + -3x2

Combine like terms: 6x2 + -3x2 = 3x2
-4 + 2x + 3x2 + -3x3 = -8 + -8x + 3x2 + 8 + 8x + -3x2

Reorder the terms:
-4 + 2x + 3x2 + -3x3 = -8 + 8 + -8x + 8x + 3x2 + -3x2

Combine like terms: -8 + 8 = 0
-4 + 2x + 3x2 + -3x3 = 0 + -8x + 8x + 3x2 + -3x2
-4 + 2x + 3x2 + -3x3 = -8x + 8x + 3x2 + -3x2

Combine like terms: -8x + 8x = 0
-4 + 2x + 3x2 + -3x3 = 0 + 3x2 + -3x2
-4 + 2x + 3x2 + -3x3 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4 + 2x + 3x2 + -3x3 = 0

The solution to this equation could not be determined.

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