0=4x^3-54x^2+148x-20

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Solution for 0=4x^3-54x^2+148x-20 equation:


Simplifying
0 = 4x3 + -54x2 + 148x + -20

Reorder the terms:
0 = -20 + 148x + -54x2 + 4x3

Solving
0 = -20 + 148x + -54x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + -148x + 54x2 + -4x3 = -20 + 148x + -54x2 + 4x3 + 20 + -148x + 54x2 + -4x3

Reorder the terms:
20 + -148x + 54x2 + -4x3 = -20 + 20 + 148x + -148x + -54x2 + 54x2 + 4x3 + -4x3

Combine like terms: -20 + 20 = 0
20 + -148x + 54x2 + -4x3 = 0 + 148x + -148x + -54x2 + 54x2 + 4x3 + -4x3
20 + -148x + 54x2 + -4x3 = 148x + -148x + -54x2 + 54x2 + 4x3 + -4x3

Combine like terms: 148x + -148x = 0
20 + -148x + 54x2 + -4x3 = 0 + -54x2 + 54x2 + 4x3 + -4x3
20 + -148x + 54x2 + -4x3 = -54x2 + 54x2 + 4x3 + -4x3

Combine like terms: -54x2 + 54x2 = 0
20 + -148x + 54x2 + -4x3 = 0 + 4x3 + -4x3
20 + -148x + 54x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
20 + -148x + 54x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -74x + 27x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(10 + -74x + 27x2 + -2x3)' equal to zero and attempt to solve: Simplifying 10 + -74x + 27x2 + -2x3 = 0 Solving 10 + -74x + 27x2 + -2x3 = 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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