0=8t^3+60t^2+142t-420

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Solution for 0=8t^3+60t^2+142t-420 equation: 


Simplifying
0 = 8t3 + 60t2 + 142t + -420

Reorder the terms:
0 = -420 + 142t + 60t2 + 8t3

Solving
0 = -420 + 142t + 60t2 + 8t3

Solving for variable 't'.

Combine like terms: 0 + 420 = 420
420 + -142t + -60t2 + -8t3 = -420 + 142t + 60t2 + 8t3 + 420 + -142t + -60t2 + -8t3

Reorder the terms:
420 + -142t + -60t2 + -8t3 = -420 + 420 + 142t + -142t + 60t2 + -60t2 + 8t3 + -8t3

Combine like terms: -420 + 420 = 0
420 + -142t + -60t2 + -8t3 = 0 + 142t + -142t + 60t2 + -60t2 + 8t3 + -8t3
420 + -142t + -60t2 + -8t3 = 142t + -142t + 60t2 + -60t2 + 8t3 + -8t3

Combine like terms: 142t + -142t = 0
420 + -142t + -60t2 + -8t3 = 0 + 60t2 + -60t2 + 8t3 + -8t3
420 + -142t + -60t2 + -8t3 = 60t2 + -60t2 + 8t3 + -8t3

Combine like terms: 60t2 + -60t2 = 0
420 + -142t + -60t2 + -8t3 = 0 + 8t3 + -8t3
420 + -142t + -60t2 + -8t3 = 8t3 + -8t3

Combine like terms: 8t3 + -8t3 = 0
420 + -142t + -60t2 + -8t3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(210 + -71t + -30t2 + -4t3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(210 + -71t + -30t2 + -4t3)' equal to zero and attempt to solve:

Simplifying
210 + -71t + -30t2 + -4t3 = 0

Solving
210 + -71t + -30t2 + -4t3 = 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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