(5x-3)(4x+20)(9x+17)=

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Solution for (5x-3)(4x+20)(9x+17)= equation: 


Simplifying
(5x + -3)(4x + 20)(9x + 17) = 0

Reorder the terms:
(-3 + 5x)(4x + 20)(9x + 17) = 0

Reorder the terms:
(-3 + 5x)(20 + 4x)(9x + 17) = 0

Reorder the terms:
(-3 + 5x)(20 + 4x)(17 + 9x) = 0

Multiply (-3 + 5x) * (20 + 4x)
(-3(20 + 4x) + 5x * (20 + 4x))(17 + 9x) = 0
((20 * -3 + 4x * -3) + 5x * (20 + 4x))(17 + 9x) = 0
((-60 + -12x) + 5x * (20 + 4x))(17 + 9x) = 0
(-60 + -12x + (20 * 5x + 4x * 5x))(17 + 9x) = 0
(-60 + -12x + (100x + 20x2))(17 + 9x) = 0

Combine like terms: -12x + 100x = 88x
(-60 + 88x + 20x2)(17 + 9x) = 0

Multiply (-60 + 88x + 20x2) * (17 + 9x)
(-60(17 + 9x) + 88x * (17 + 9x) + 20x2 * (17 + 9x)) = 0
((17 * -60 + 9x * -60) + 88x * (17 + 9x) + 20x2 * (17 + 9x)) = 0
((-1020 + -540x) + 88x * (17 + 9x) + 20x2 * (17 + 9x)) = 0
(-1020 + -540x + (17 * 88x + 9x * 88x) + 20x2 * (17 + 9x)) = 0
(-1020 + -540x + (1496x + 792x2) + 20x2 * (17 + 9x)) = 0
(-1020 + -540x + 1496x + 792x2 + (17 * 20x2 + 9x * 20x2)) = 0
(-1020 + -540x + 1496x + 792x2 + (340x2 + 180x3)) = 0

Combine like terms: -540x + 1496x = 956x
(-1020 + 956x + 792x2 + 340x2 + 180x3) = 0

Combine like terms: 792x2 + 340x2 = 1132x2
(-1020 + 956x + 1132x2 + 180x3) = 0

Solving
-1020 + 956x + 1132x2 + 180x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-255 + 239x + 283x2 + 45x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-255 + 239x + 283x2 + 45x3)' equal to zero and attempt to solve:

Simplifying
-255 + 239x + 283x2 + 45x3 = 0

Solving
-255 + 239x + 283x2 + 45x3 = 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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