(x^2+2x+8)(x^2-x-6)=0

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Solution for (x^2+2x+8)(x^2-x-6)=0 equation:


Simplifying
(x2 + 2x + 8)(x2 + -1x + -6) = 0

Reorder the terms:
(8 + 2x + x2)(x2 + -1x + -6) = 0

Reorder the terms:
(8 + 2x + x2)(-6 + -1x + x2) = 0

Multiply (8 + 2x + x2) * (-6 + -1x + x2)
(8(-6 + -1x + x2) + 2x * (-6 + -1x + x2) + x2(-6 + -1x + x2)) = 0
((-6 * 8 + -1x * 8 + x2 * 8) + 2x * (-6 + -1x + x2) + x2(-6 + -1x + x2)) = 0
((-48 + -8x + 8x2) + 2x * (-6 + -1x + x2) + x2(-6 + -1x + x2)) = 0
(-48 + -8x + 8x2 + (-6 * 2x + -1x * 2x + x2 * 2x) + x2(-6 + -1x + x2)) = 0
(-48 + -8x + 8x2 + (-12x + -2x2 + 2x3) + x2(-6 + -1x + x2)) = 0
(-48 + -8x + 8x2 + -12x + -2x2 + 2x3 + (-6 * x2 + -1x * x2 + x2 * x2)) = 0
(-48 + -8x + 8x2 + -12x + -2x2 + 2x3 + (-6x2 + -1x3 + x4)) = 0

Reorder the terms:
(-48 + -8x + -12x + 8x2 + -2x2 + -6x2 + 2x3 + -1x3 + x4) = 0

Combine like terms: -8x + -12x = -20x
(-48 + -20x + 8x2 + -2x2 + -6x2 + 2x3 + -1x3 + x4) = 0

Combine like terms: 8x2 + -2x2 = 6x2
(-48 + -20x + 6x2 + -6x2 + 2x3 + -1x3 + x4) = 0

Combine like terms: 6x2 + -6x2 = 0
(-48 + -20x + 0 + 2x3 + -1x3 + x4) = 0
(-48 + -20x + 2x3 + -1x3 + x4) = 0

Combine like terms: 2x3 + -1x3 = 1x3
(-48 + -20x + 1x3 + x4) = 0

Solving
-48 + -20x + 1x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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