(x+40)(3x+20)(2x+60)=

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Solution for (x+40)(3x+20)(2x+60)= equation: 


Simplifying
(x + 40)(3x + 20)(2x + 60) = 0

Reorder the terms:
(40 + x)(3x + 20)(2x + 60) = 0

Reorder the terms:
(40 + x)(20 + 3x)(2x + 60) = 0

Reorder the terms:
(40 + x)(20 + 3x)(60 + 2x) = 0

Multiply (40 + x) * (20 + 3x)
(40(20 + 3x) + x(20 + 3x))(60 + 2x) = 0
((20 * 40 + 3x * 40) + x(20 + 3x))(60 + 2x) = 0
((800 + 120x) + x(20 + 3x))(60 + 2x) = 0
(800 + 120x + (20 * x + 3x * x))(60 + 2x) = 0
(800 + 120x + (20x + 3x2))(60 + 2x) = 0

Combine like terms: 120x + 20x = 140x
(800 + 140x + 3x2)(60 + 2x) = 0

Multiply (800 + 140x + 3x2) * (60 + 2x)
(800(60 + 2x) + 140x * (60 + 2x) + 3x2 * (60 + 2x)) = 0
((60 * 800 + 2x * 800) + 140x * (60 + 2x) + 3x2 * (60 + 2x)) = 0
((48000 + 1600x) + 140x * (60 + 2x) + 3x2 * (60 + 2x)) = 0
(48000 + 1600x + (60 * 140x + 2x * 140x) + 3x2 * (60 + 2x)) = 0
(48000 + 1600x + (8400x + 280x2) + 3x2 * (60 + 2x)) = 0
(48000 + 1600x + 8400x + 280x2 + (60 * 3x2 + 2x * 3x2)) = 0
(48000 + 1600x + 8400x + 280x2 + (180x2 + 6x3)) = 0

Combine like terms: 1600x + 8400x = 10000x
(48000 + 10000x + 280x2 + 180x2 + 6x3) = 0

Combine like terms: 280x2 + 180x2 = 460x2
(48000 + 10000x + 460x2 + 6x3) = 0

Solving
48000 + 10000x + 460x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24000 + 5000x + 230x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(24000 + 5000x + 230x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
24000 + 5000x + 230x2 + 3x3 = 0

Solving
24000 + 5000x + 230x2 + 3x3 = 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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