X(x+3)(x+5)(x+8)+56=0

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Solution for X(x+3)(x+5)(x+8)+56=0 equation: 


Simplifying
X(x + 3)(x + 5)(x + 8) + 56 = 0

Reorder the terms:
X(3 + x)(x + 5)(x + 8) + 56 = 0

Reorder the terms:
X(3 + x)(5 + x)(x + 8) + 56 = 0

Reorder the terms:
X(3 + x)(5 + x)(8 + x) + 56 = 0

Multiply (3 + x) * (5 + x)
X(3(5 + x) + x(5 + x))(8 + x) + 56 = 0
X((5 * 3 + x * 3) + x(5 + x))(8 + x) + 56 = 0
X((15 + 3x) + x(5 + x))(8 + x) + 56 = 0
X(15 + 3x + (5 * x + x * x))(8 + x) + 56 = 0
X(15 + 3x + (5x + x2))(8 + x) + 56 = 0

Combine like terms: 3x + 5x = 8x
X(15 + 8x + x2)(8 + x) + 56 = 0

Multiply (15 + 8x + x2) * (8 + x)
X(15(8 + x) + 8x * (8 + x) + x2(8 + x)) + 56 = 0
X((8 * 15 + x * 15) + 8x * (8 + x) + x2(8 + x)) + 56 = 0
X((120 + 15x) + 8x * (8 + x) + x2(8 + x)) + 56 = 0
X(120 + 15x + (8 * 8x + x * 8x) + x2(8 + x)) + 56 = 0
X(120 + 15x + (64x + 8x2) + x2(8 + x)) + 56 = 0
X(120 + 15x + 64x + 8x2 + (8 * x2 + x * x2)) + 56 = 0
X(120 + 15x + 64x + 8x2 + (8x2 + x3)) + 56 = 0

Combine like terms: 15x + 64x = 79x
X(120 + 79x + 8x2 + 8x2 + x3) + 56 = 0

Combine like terms: 8x2 + 8x2 = 16x2
X(120 + 79x + 16x2 + x3) + 56 = 0
(120 * X + 79x * X + 16x2 * X + x3 * X) + 56 = 0
(120X + 79xX + 16x2X + x3X) + 56 = 0

Reorder the terms:
56 + 120X + 79xX + 16x2X + x3X = 0

Solving
56 + 120X + 79xX + 16x2X + x3X = 0

Solving for variable 'X'.

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

Add '-56' to each side of the equation.
56 + 120X + 79xX + 16x2X + -56 + x3X = 0 + -56

Reorder the terms:
56 + -56 + 120X + 79xX + 16x2X + x3X = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 120X + 79xX + 16x2X + x3X = 0 + -56
120X + 79xX + 16x2X + x3X = 0 + -56

Combine like terms: 0 + -56 = -56
120X + 79xX + 16x2X + x3X = -56

Reorder the terms:
56 + 120X + 79xX + 16x2X + x3X = -56 + 56

Combine like terms: -56 + 56 = 0
56 + 120X + 79xX + 16x2X + x3X = 0

The solution to this equation could not be determined.

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