(x+1)(x+2)(x+4)(x+8)=28x^2

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Solution for (x+1)(x+2)(x+4)(x+8)=28x^2 equation:


Simplifying
(x + 1)(x + 2)(x + 4)(x + 8) = 28x2

Reorder the terms:
(1 + x)(x + 2)(x + 4)(x + 8) = 28x2

Reorder the terms:
(1 + x)(2 + x)(x + 4)(x + 8) = 28x2

Reorder the terms:
(1 + x)(2 + x)(4 + x)(x + 8) = 28x2

Reorder the terms:
(1 + x)(2 + x)(4 + x)(8 + x) = 28x2

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x))(4 + x)(8 + x) = 28x2
((2 * 1 + x * 1) + x(2 + x))(4 + x)(8 + x) = 28x2
((2 + 1x) + x(2 + x))(4 + x)(8 + x) = 28x2
(2 + 1x + (2 * x + x * x))(4 + x)(8 + x) = 28x2
(2 + 1x + (2x + x2))(4 + x)(8 + x) = 28x2

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2)(4 + x)(8 + x) = 28x2

Multiply (2 + 3x + x2) * (4 + x)
(2(4 + x) + 3x * (4 + x) + x2(4 + x))(8 + x) = 28x2
((4 * 2 + x * 2) + 3x * (4 + x) + x2(4 + x))(8 + x) = 28x2
((8 + 2x) + 3x * (4 + x) + x2(4 + x))(8 + x) = 28x2
(8 + 2x + (4 * 3x + x * 3x) + x2(4 + x))(8 + x) = 28x2
(8 + 2x + (12x + 3x2) + x2(4 + x))(8 + x) = 28x2
(8 + 2x + 12x + 3x2 + (4 * x2 + x * x2))(8 + x) = 28x2
(8 + 2x + 12x + 3x2 + (4x2 + x3))(8 + x) = 28x2

Combine like terms: 2x + 12x = 14x
(8 + 14x + 3x2 + 4x2 + x3)(8 + x) = 28x2

Combine like terms: 3x2 + 4x2 = 7x2
(8 + 14x + 7x2 + x3)(8 + x) = 28x2

Multiply (8 + 14x + 7x2 + x3) * (8 + x)
(8(8 + x) + 14x * (8 + x) + 7x2 * (8 + x) + x3(8 + x)) = 28x2
((8 * 8 + x * 8) + 14x * (8 + x) + 7x2 * (8 + x) + x3(8 + x)) = 28x2
((64 + 8x) + 14x * (8 + x) + 7x2 * (8 + x) + x3(8 + x)) = 28x2
(64 + 8x + (8 * 14x + x * 14x) + 7x2 * (8 + x) + x3(8 + x)) = 28x2
(64 + 8x + (112x + 14x2) + 7x2 * (8 + x) + x3(8 + x)) = 28x2
(64 + 8x + 112x + 14x2 + (8 * 7x2 + x * 7x2) + x3(8 + x)) = 28x2
(64 + 8x + 112x + 14x2 + (56x2 + 7x3) + x3(8 + x)) = 28x2
(64 + 8x + 112x + 14x2 + 56x2 + 7x3 + (8 * x3 + x * x3)) = 28x2
(64 + 8x + 112x + 14x2 + 56x2 + 7x3 + (8x3 + x4)) = 28x2

Combine like terms: 8x + 112x = 120x
(64 + 120x + 14x2 + 56x2 + 7x3 + 8x3 + x4) = 28x2

Combine like terms: 14x2 + 56x2 = 70x2
(64 + 120x + 70x2 + 7x3 + 8x3 + x4) = 28x2

Combine like terms: 7x3 + 8x3 = 15x3
(64 + 120x + 70x2 + 15x3 + x4) = 28x2

Solving
64 + 120x + 70x2 + 15x3 + x4 = 28x2

Solving for variable 'x'.

Reorder the terms:
64 + 120x + 70x2 + -28x2 + 15x3 + x4 = 28x2 + -28x2

Combine like terms: 70x2 + -28x2 = 42x2
64 + 120x + 42x2 + 15x3 + x4 = 28x2 + -28x2

Combine like terms: 28x2 + -28x2 = 0
64 + 120x + 42x2 + 15x3 + x4 = 0

The solution to this equation could not be determined.

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