(3x+4)(10x+6)(3x+4)(x+9)=0

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Solution for (3x+4)(10x+6)(3x+4)(x+9)=0 equation: 


Simplifying
(3x + 4)(10x + 6)(3x + 4)(x + 9) = 0

Reorder the terms:
(4 + 3x)(10x + 6)(3x + 4)(x + 9) = 0

Reorder the terms:
(4 + 3x)(6 + 10x)(3x + 4)(x + 9) = 0

Reorder the terms:
(4 + 3x)(6 + 10x)(4 + 3x)(x + 9) = 0

Reorder the terms:
(4 + 3x)(6 + 10x)(4 + 3x)(9 + x) = 0

Multiply (4 + 3x) * (6 + 10x)
(4(6 + 10x) + 3x * (6 + 10x))(4 + 3x)(9 + x) = 0
((6 * 4 + 10x * 4) + 3x * (6 + 10x))(4 + 3x)(9 + x) = 0
((24 + 40x) + 3x * (6 + 10x))(4 + 3x)(9 + x) = 0
(24 + 40x + (6 * 3x + 10x * 3x))(4 + 3x)(9 + x) = 0
(24 + 40x + (18x + 30x2))(4 + 3x)(9 + x) = 0

Combine like terms: 40x + 18x = 58x
(24 + 58x + 30x2)(4 + 3x)(9 + x) = 0

Multiply (24 + 58x + 30x2) * (4 + 3x)
(24(4 + 3x) + 58x * (4 + 3x) + 30x2 * (4 + 3x))(9 + x) = 0
((4 * 24 + 3x * 24) + 58x * (4 + 3x) + 30x2 * (4 + 3x))(9 + x) = 0
((96 + 72x) + 58x * (4 + 3x) + 30x2 * (4 + 3x))(9 + x) = 0
(96 + 72x + (4 * 58x + 3x * 58x) + 30x2 * (4 + 3x))(9 + x) = 0
(96 + 72x + (232x + 174x2) + 30x2 * (4 + 3x))(9 + x) = 0
(96 + 72x + 232x + 174x2 + (4 * 30x2 + 3x * 30x2))(9 + x) = 0
(96 + 72x + 232x + 174x2 + (120x2 + 90x3))(9 + x) = 0

Combine like terms: 72x + 232x = 304x
(96 + 304x + 174x2 + 120x2 + 90x3)(9 + x) = 0

Combine like terms: 174x2 + 120x2 = 294x2
(96 + 304x + 294x2 + 90x3)(9 + x) = 0

Multiply (96 + 304x + 294x2 + 90x3) * (9 + x)
(96(9 + x) + 304x * (9 + x) + 294x2 * (9 + x) + 90x3 * (9 + x)) = 0
((9 * 96 + x * 96) + 304x * (9 + x) + 294x2 * (9 + x) + 90x3 * (9 + x)) = 0
((864 + 96x) + 304x * (9 + x) + 294x2 * (9 + x) + 90x3 * (9 + x)) = 0
(864 + 96x + (9 * 304x + x * 304x) + 294x2 * (9 + x) + 90x3 * (9 + x)) = 0
(864 + 96x + (2736x + 304x2) + 294x2 * (9 + x) + 90x3 * (9 + x)) = 0
(864 + 96x + 2736x + 304x2 + (9 * 294x2 + x * 294x2) + 90x3 * (9 + x)) = 0
(864 + 96x + 2736x + 304x2 + (2646x2 + 294x3) + 90x3 * (9 + x)) = 0
(864 + 96x + 2736x + 304x2 + 2646x2 + 294x3 + (9 * 90x3 + x * 90x3)) = 0
(864 + 96x + 2736x + 304x2 + 2646x2 + 294x3 + (810x3 + 90x4)) = 0

Combine like terms: 96x + 2736x = 2832x
(864 + 2832x + 304x2 + 2646x2 + 294x3 + 810x3 + 90x4) = 0

Combine like terms: 304x2 + 2646x2 = 2950x2
(864 + 2832x + 2950x2 + 294x3 + 810x3 + 90x4) = 0

Combine like terms: 294x3 + 810x3 = 1104x3
(864 + 2832x + 2950x2 + 1104x3 + 90x4) = 0

Solving
864 + 2832x + 2950x2 + 1104x3 + 90x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(432 + 1416x + 1475x2 + 552x3 + 45x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(432 + 1416x + 1475x2 + 552x3 + 45x4)' equal to zero and attempt to solve:

Simplifying
432 + 1416x + 1475x2 + 552x3 + 45x4 = 0

Solving
432 + 1416x + 1475x2 + 552x3 + 45x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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