(x+2)(x+3)(x+4)(x+6)=30x^2

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Solution for (x+2)(x+3)(x+4)(x+6)=30x^2 equation: 


Simplifying
(x + 2)(x + 3)(x + 4)(x + 6) = 30x2

Reorder the terms:
(2 + x)(x + 3)(x + 4)(x + 6) = 30x2

Reorder the terms:
(2 + x)(3 + x)(x + 4)(x + 6) = 30x2

Reorder the terms:
(2 + x)(3 + x)(4 + x)(x + 6) = 30x2

Reorder the terms:
(2 + x)(3 + x)(4 + x)(6 + x) = 30x2

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x))(4 + x)(6 + x) = 30x2
((3 * 2 + x * 2) + x(3 + x))(4 + x)(6 + x) = 30x2
((6 + 2x) + x(3 + x))(4 + x)(6 + x) = 30x2
(6 + 2x + (3 * x + x * x))(4 + x)(6 + x) = 30x2
(6 + 2x + (3x + x2))(4 + x)(6 + x) = 30x2

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(4 + x)(6 + x) = 30x2

Multiply (6 + 5x + x2) * (4 + x)
(6(4 + x) + 5x * (4 + x) + x2(4 + x))(6 + x) = 30x2
((4 * 6 + x * 6) + 5x * (4 + x) + x2(4 + x))(6 + x) = 30x2
((24 + 6x) + 5x * (4 + x) + x2(4 + x))(6 + x) = 30x2
(24 + 6x + (4 * 5x + x * 5x) + x2(4 + x))(6 + x) = 30x2
(24 + 6x + (20x + 5x2) + x2(4 + x))(6 + x) = 30x2
(24 + 6x + 20x + 5x2 + (4 * x2 + x * x2))(6 + x) = 30x2
(24 + 6x + 20x + 5x2 + (4x2 + x3))(6 + x) = 30x2

Combine like terms: 6x + 20x = 26x
(24 + 26x + 5x2 + 4x2 + x3)(6 + x) = 30x2

Combine like terms: 5x2 + 4x2 = 9x2
(24 + 26x + 9x2 + x3)(6 + x) = 30x2

Multiply (24 + 26x + 9x2 + x3) * (6 + x)
(24(6 + x) + 26x * (6 + x) + 9x2 * (6 + x) + x3(6 + x)) = 30x2
((6 * 24 + x * 24) + 26x * (6 + x) + 9x2 * (6 + x) + x3(6 + x)) = 30x2
((144 + 24x) + 26x * (6 + x) + 9x2 * (6 + x) + x3(6 + x)) = 30x2
(144 + 24x + (6 * 26x + x * 26x) + 9x2 * (6 + x) + x3(6 + x)) = 30x2
(144 + 24x + (156x + 26x2) + 9x2 * (6 + x) + x3(6 + x)) = 30x2
(144 + 24x + 156x + 26x2 + (6 * 9x2 + x * 9x2) + x3(6 + x)) = 30x2
(144 + 24x + 156x + 26x2 + (54x2 + 9x3) + x3(6 + x)) = 30x2
(144 + 24x + 156x + 26x2 + 54x2 + 9x3 + (6 * x3 + x * x3)) = 30x2
(144 + 24x + 156x + 26x2 + 54x2 + 9x3 + (6x3 + x4)) = 30x2

Combine like terms: 24x + 156x = 180x
(144 + 180x + 26x2 + 54x2 + 9x3 + 6x3 + x4) = 30x2

Combine like terms: 26x2 + 54x2 = 80x2
(144 + 180x + 80x2 + 9x3 + 6x3 + x4) = 30x2

Combine like terms: 9x3 + 6x3 = 15x3
(144 + 180x + 80x2 + 15x3 + x4) = 30x2

Solving
144 + 180x + 80x2 + 15x3 + x4 = 30x2

Solving for variable 'x'.

Reorder the terms:
144 + 180x + 80x2 + -30x2 + 15x3 + x4 = 30x2 + -30x2

Combine like terms: 80x2 + -30x2 = 50x2
144 + 180x + 50x2 + 15x3 + x4 = 30x2 + -30x2

Combine like terms: 30x2 + -30x2 = 0
144 + 180x + 50x2 + 15x3 + x4 = 0

The solution to this equation could not be determined.

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