(x+2)(x+3)(x+8)(x+12)=4x^2

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Solution for (x+2)(x+3)(x+8)(x+12)=4x^2 equation: 


Simplifying
(x + 2)(x + 3)(x + 8)(x + 12) = 4x2

Reorder the terms:
(2 + x)(x + 3)(x + 8)(x + 12) = 4x2

Reorder the terms:
(2 + x)(3 + x)(x + 8)(x + 12) = 4x2

Reorder the terms:
(2 + x)(3 + x)(8 + x)(x + 12) = 4x2

Reorder the terms:
(2 + x)(3 + x)(8 + x)(12 + x) = 4x2

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x))(8 + x)(12 + x) = 4x2
((3 * 2 + x * 2) + x(3 + x))(8 + x)(12 + x) = 4x2
((6 + 2x) + x(3 + x))(8 + x)(12 + x) = 4x2
(6 + 2x + (3 * x + x * x))(8 + x)(12 + x) = 4x2
(6 + 2x + (3x + x2))(8 + x)(12 + x) = 4x2

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(8 + x)(12 + x) = 4x2

Multiply (6 + 5x + x2) * (8 + x)
(6(8 + x) + 5x * (8 + x) + x2(8 + x))(12 + x) = 4x2
((8 * 6 + x * 6) + 5x * (8 + x) + x2(8 + x))(12 + x) = 4x2
((48 + 6x) + 5x * (8 + x) + x2(8 + x))(12 + x) = 4x2
(48 + 6x + (8 * 5x + x * 5x) + x2(8 + x))(12 + x) = 4x2
(48 + 6x + (40x + 5x2) + x2(8 + x))(12 + x) = 4x2
(48 + 6x + 40x + 5x2 + (8 * x2 + x * x2))(12 + x) = 4x2
(48 + 6x + 40x + 5x2 + (8x2 + x3))(12 + x) = 4x2

Combine like terms: 6x + 40x = 46x
(48 + 46x + 5x2 + 8x2 + x3)(12 + x) = 4x2

Combine like terms: 5x2 + 8x2 = 13x2
(48 + 46x + 13x2 + x3)(12 + x) = 4x2

Multiply (48 + 46x + 13x2 + x3) * (12 + x)
(48(12 + x) + 46x * (12 + x) + 13x2 * (12 + x) + x3(12 + x)) = 4x2
((12 * 48 + x * 48) + 46x * (12 + x) + 13x2 * (12 + x) + x3(12 + x)) = 4x2
((576 + 48x) + 46x * (12 + x) + 13x2 * (12 + x) + x3(12 + x)) = 4x2
(576 + 48x + (12 * 46x + x * 46x) + 13x2 * (12 + x) + x3(12 + x)) = 4x2
(576 + 48x + (552x + 46x2) + 13x2 * (12 + x) + x3(12 + x)) = 4x2
(576 + 48x + 552x + 46x2 + (12 * 13x2 + x * 13x2) + x3(12 + x)) = 4x2
(576 + 48x + 552x + 46x2 + (156x2 + 13x3) + x3(12 + x)) = 4x2
(576 + 48x + 552x + 46x2 + 156x2 + 13x3 + (12 * x3 + x * x3)) = 4x2
(576 + 48x + 552x + 46x2 + 156x2 + 13x3 + (12x3 + x4)) = 4x2

Combine like terms: 48x + 552x = 600x
(576 + 600x + 46x2 + 156x2 + 13x3 + 12x3 + x4) = 4x2

Combine like terms: 46x2 + 156x2 = 202x2
(576 + 600x + 202x2 + 13x3 + 12x3 + x4) = 4x2

Combine like terms: 13x3 + 12x3 = 25x3
(576 + 600x + 202x2 + 25x3 + x4) = 4x2

Solving
576 + 600x + 202x2 + 25x3 + x4 = 4x2

Solving for variable 'x'.

Reorder the terms:
576 + 600x + 202x2 + -4x2 + 25x3 + x4 = 4x2 + -4x2

Combine like terms: 202x2 + -4x2 = 198x2
576 + 600x + 198x2 + 25x3 + x4 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
576 + 600x + 198x2 + 25x3 + x4 = 0

The solution to this equation could not be determined.

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