3x^3+10=60x-500

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Solution for 3x^3+10=60x-500 equation: 


Simplifying
3x3 + 10 = 60x + -500

Reorder the terms:
10 + 3x3 = 60x + -500

Reorder the terms:
10 + 3x3 = -500 + 60x

Solving
10 + 3x3 = -500 + 60x

Solving for variable 'x'.

Reorder the terms:
10 + 500 + -60x + 3x3 = -500 + 60x + 500 + -60x

Combine like terms: 10 + 500 = 510
510 + -60x + 3x3 = -500 + 60x + 500 + -60x

Reorder the terms:
510 + -60x + 3x3 = -500 + 500 + 60x + -60x

Combine like terms: -500 + 500 = 0
510 + -60x + 3x3 = 0 + 60x + -60x
510 + -60x + 3x3 = 60x + -60x

Combine like terms: 60x + -60x = 0
510 + -60x + 3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(170 + -20x + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(170 + -20x + x3)' equal to zero and attempt to solve:

Simplifying
170 + -20x + x3 = 0

Solving
170 + -20x + x3 = 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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