0=(X^2-2x-2)(3x^2+10x-8)

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Solution for 0=(X^2-2x-2)(3x^2+10x-8) equation: 


Simplifying
0 = (X2 + -2x + -2)(3x2 + 10x + -8)

Reorder the terms:
0 = (-2 + X2 + -2x)(3x2 + 10x + -8)

Reorder the terms:
0 = (-2 + X2 + -2x)(-8 + 10x + 3x2)

Multiply (-2 + X2 + -2x) * (-8 + 10x + 3x2)
0 = (-2(-8 + 10x + 3x2) + X2(-8 + 10x + 3x2) + -2x * (-8 + 10x + 3x2))
0 = ((-8 * -2 + 10x * -2 + 3x2 * -2) + X2(-8 + 10x + 3x2) + -2x * (-8 + 10x + 3x2))
0 = ((16 + -20x + -6x2) + X2(-8 + 10x + 3x2) + -2x * (-8 + 10x + 3x2))
0 = (16 + -20x + -6x2 + (-8 * X2 + 10x * X2 + 3x2 * X2) + -2x * (-8 + 10x + 3x2))
0 = (16 + -20x + -6x2 + (-8X2 + 10xX2 + 3x2X2) + -2x * (-8 + 10x + 3x2))
0 = (16 + -20x + -6x2 + -8X2 + 10xX2 + 3x2X2 + (-8 * -2x + 10x * -2x + 3x2 * -2x))
0 = (16 + -20x + -6x2 + -8X2 + 10xX2 + 3x2X2 + (16x + -20x2 + -6x3))

Reorder the terms:
0 = (16 + -8X2 + -20x + 16x + 10xX2 + -6x2 + -20x2 + 3x2X2 + -6x3)

Combine like terms: -20x + 16x = -4x
0 = (16 + -8X2 + -4x + 10xX2 + -6x2 + -20x2 + 3x2X2 + -6x3)

Combine like terms: -6x2 + -20x2 = -26x2
0 = (16 + -8X2 + -4x + 10xX2 + -26x2 + 3x2X2 + -6x3)

Solving
0 = 16 + -8X2 + -4x + 10xX2 + -26x2 + 3x2X2 + -6x3

Solving for variable 'X'.

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

Add '8X2' to each side of the equation.
0 + 8X2 = 16 + -8X2 + -4x + 10xX2 + -26x2 + 3x2X2 + 8X2 + -6x3
Remove the zero:
8X2 = 16 + -8X2 + -4x + 10xX2 + -26x2 + 3x2X2 + 8X2 + -6x3

Reorder the terms:
8X2 = 16 + -8X2 + 8X2 + -4x + 10xX2 + -26x2 + 3x2X2 + -6x3

Combine like terms: -8X2 + 8X2 = 0
8X2 = 16 + 0 + -4x + 10xX2 + -26x2 + 3x2X2 + -6x3
8X2 = 16 + -4x + 10xX2 + -26x2 + 3x2X2 + -6x3

Add '-10xX2' to each side of the equation.
8X2 + -10xX2 = 16 + -4x + 10xX2 + -26x2 + 3x2X2 + -10xX2 + -6x3

Reorder the terms:
8X2 + -10xX2 = 16 + -4x + 10xX2 + -10xX2 + -26x2 + 3x2X2 + -6x3

Combine like terms: 10xX2 + -10xX2 = 0
8X2 + -10xX2 = 16 + -4x + 0 + -26x2 + 3x2X2 + -6x3
8X2 + -10xX2 = 16 + -4x + -26x2 + 3x2X2 + -6x3

Add '-3x2X2' to each side of the equation.
8X2 + -10xX2 + -3x2X2 = 16 + -4x + -26x2 + 3x2X2 + -3x2X2 + -6x3

Combine like terms: 3x2X2 + -3x2X2 = 0
8X2 + -10xX2 + -3x2X2 = 16 + -4x + -26x2 + 0 + -6x3
8X2 + -10xX2 + -3x2X2 = 16 + -4x + -26x2 + -6x3

Reorder the terms:
-16 + 8X2 + 4x + -10xX2 + 26x2 + -3x2X2 + 6x3 = 16 + -4x + -26x2 + -6x3 + -16 + 4x + 26x2 + 6x3

Reorder the terms:
-16 + 8X2 + 4x + -10xX2 + 26x2 + -3x2X2 + 6x3 = 16 + -16 + -4x + 4x + -26x2 + 26x2 + -6x3 + 6x3

Combine like terms: 16 + -16 = 0
-16 + 8X2 + 4x + -10xX2 + 26x2 + -3x2X2 + 6x3 = 0 + -4x + 4x + -26x2 + 26x2 + -6x3 + 6x3
-16 + 8X2 + 4x + -10xX2 + 26x2 + -3x2X2 + 6x3 = -4x + 4x + -26x2 + 26x2 + -6x3 + 6x3

Combine like terms: -4x + 4x = 0
-16 + 8X2 + 4x + -10xX2 + 26x2 + -3x2X2 + 6x3 = 0 + -26x2 + 26x2 + -6x3 + 6x3
-16 + 8X2 + 4x + -10xX2 + 26x2 + -3x2X2 + 6x3 = -26x2 + 26x2 + -6x3 + 6x3

Combine like terms: -26x2 + 26x2 = 0
-16 + 8X2 + 4x + -10xX2 + 26x2 + -3x2X2 + 6x3 = 0 + -6x3 + 6x3
-16 + 8X2 + 4x + -10xX2 + 26x2 + -3x2X2 + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
-16 + 8X2 + 4x + -10xX2 + 26x2 + -3x2X2 + 6x3 = 0

The solution to this equation could not be determined.

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