(x-2)(x+4)(x+8)=(x^2+14x+48)

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Solution for (x-2)(x+4)(x+8)=(x^2+14x+48) equation: 


Simplifying
(x + -2)(x + 4)(x + 8) = (x2 + 14x + 48)

Reorder the terms:
(-2 + x)(x + 4)(x + 8) = (x2 + 14x + 48)

Reorder the terms:
(-2 + x)(4 + x)(x + 8) = (x2 + 14x + 48)

Reorder the terms:
(-2 + x)(4 + x)(8 + x) = (x2 + 14x + 48)

Multiply (-2 + x) * (4 + x)
(-2(4 + x) + x(4 + x))(8 + x) = (x2 + 14x + 48)
((4 * -2 + x * -2) + x(4 + x))(8 + x) = (x2 + 14x + 48)
((-8 + -2x) + x(4 + x))(8 + x) = (x2 + 14x + 48)
(-8 + -2x + (4 * x + x * x))(8 + x) = (x2 + 14x + 48)
(-8 + -2x + (4x + x2))(8 + x) = (x2 + 14x + 48)

Combine like terms: -2x + 4x = 2x
(-8 + 2x + x2)(8 + x) = (x2 + 14x + 48)

Multiply (-8 + 2x + x2) * (8 + x)
(-8(8 + x) + 2x * (8 + x) + x2(8 + x)) = (x2 + 14x + 48)
((8 * -8 + x * -8) + 2x * (8 + x) + x2(8 + x)) = (x2 + 14x + 48)
((-64 + -8x) + 2x * (8 + x) + x2(8 + x)) = (x2 + 14x + 48)
(-64 + -8x + (8 * 2x + x * 2x) + x2(8 + x)) = (x2 + 14x + 48)
(-64 + -8x + (16x + 2x2) + x2(8 + x)) = (x2 + 14x + 48)
(-64 + -8x + 16x + 2x2 + (8 * x2 + x * x2)) = (x2 + 14x + 48)
(-64 + -8x + 16x + 2x2 + (8x2 + x3)) = (x2 + 14x + 48)

Combine like terms: -8x + 16x = 8x
(-64 + 8x + 2x2 + 8x2 + x3) = (x2 + 14x + 48)

Combine like terms: 2x2 + 8x2 = 10x2
(-64 + 8x + 10x2 + x3) = (x2 + 14x + 48)

Reorder the terms:
-64 + 8x + 10x2 + x3 = (48 + 14x + x2)

Remove parenthesis around (48 + 14x + x2)
-64 + 8x + 10x2 + x3 = 48 + 14x + x2

Solving
-64 + 8x + 10x2 + x3 = 48 + 14x + x2

Solving for variable 'x'.

Reorder the terms:
-64 + -48 + 8x + -14x + 10x2 + -1x2 + x3 = 48 + 14x + x2 + -48 + -14x + -1x2

Combine like terms: -64 + -48 = -112
-112 + 8x + -14x + 10x2 + -1x2 + x3 = 48 + 14x + x2 + -48 + -14x + -1x2

Combine like terms: 8x + -14x = -6x
-112 + -6x + 10x2 + -1x2 + x3 = 48 + 14x + x2 + -48 + -14x + -1x2

Combine like terms: 10x2 + -1x2 = 9x2
-112 + -6x + 9x2 + x3 = 48 + 14x + x2 + -48 + -14x + -1x2

Reorder the terms:
-112 + -6x + 9x2 + x3 = 48 + -48 + 14x + -14x + x2 + -1x2

Combine like terms: 48 + -48 = 0
-112 + -6x + 9x2 + x3 = 0 + 14x + -14x + x2 + -1x2
-112 + -6x + 9x2 + x3 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
-112 + -6x + 9x2 + x3 = 0 + x2 + -1x2
-112 + -6x + 9x2 + x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-112 + -6x + 9x2 + x3 = 0

The solution to this equation could not be determined.

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