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

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


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

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

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

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

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

Combine like terms: -2x + 6x = 4x
(-12 + 4x + -2x2 + x2 + x3) = (x + -2)(8x + -6)

Combine like terms: -2x2 + x2 = -1x2
(-12 + 4x + -1x2 + x3) = (x + -2)(8x + -6)

Reorder the terms:
-12 + 4x + -1x2 + x3 = (-2 + x)(8x + -6)

Reorder the terms:
-12 + 4x + -1x2 + x3 = (-2 + x)(-6 + 8x)

Multiply (-2 + x) * (-6 + 8x)
-12 + 4x + -1x2 + x3 = (-2(-6 + 8x) + x(-6 + 8x))
-12 + 4x + -1x2 + x3 = ((-6 * -2 + 8x * -2) + x(-6 + 8x))
-12 + 4x + -1x2 + x3 = ((12 + -16x) + x(-6 + 8x))
-12 + 4x + -1x2 + x3 = (12 + -16x + (-6 * x + 8x * x))
-12 + 4x + -1x2 + x3 = (12 + -16x + (-6x + 8x2))

Combine like terms: -16x + -6x = -22x
-12 + 4x + -1x2 + x3 = (12 + -22x + 8x2)

Solving
-12 + 4x + -1x2 + x3 = 12 + -22x + 8x2

Solving for variable 'x'.

Reorder the terms:
-12 + -12 + 4x + 22x + -1x2 + -8x2 + x3 = 12 + -22x + 8x2 + -12 + 22x + -8x2

Combine like terms: -12 + -12 = -24
-24 + 4x + 22x + -1x2 + -8x2 + x3 = 12 + -22x + 8x2 + -12 + 22x + -8x2

Combine like terms: 4x + 22x = 26x
-24 + 26x + -1x2 + -8x2 + x3 = 12 + -22x + 8x2 + -12 + 22x + -8x2

Combine like terms: -1x2 + -8x2 = -9x2
-24 + 26x + -9x2 + x3 = 12 + -22x + 8x2 + -12 + 22x + -8x2

Reorder the terms:
-24 + 26x + -9x2 + x3 = 12 + -12 + -22x + 22x + 8x2 + -8x2

Combine like terms: 12 + -12 = 0
-24 + 26x + -9x2 + x3 = 0 + -22x + 22x + 8x2 + -8x2
-24 + 26x + -9x2 + x3 = -22x + 22x + 8x2 + -8x2

Combine like terms: -22x + 22x = 0
-24 + 26x + -9x2 + x3 = 0 + 8x2 + -8x2
-24 + 26x + -9x2 + x3 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-24 + 26x + -9x2 + x3 = 0

The solution to this equation could not be determined.

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