0=4x^3-22x^2+108x-112

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Solution for 0=4x^3-22x^2+108x-112 equation:


Simplifying
0 = 4x3 + -22x2 + 108x + -112

Reorder the terms:
0 = -112 + 108x + -22x2 + 4x3

Solving
0 = -112 + 108x + -22x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + 112 = 112
112 + -108x + 22x2 + -4x3 = -112 + 108x + -22x2 + 4x3 + 112 + -108x + 22x2 + -4x3

Reorder the terms:
112 + -108x + 22x2 + -4x3 = -112 + 112 + 108x + -108x + -22x2 + 22x2 + 4x3 + -4x3

Combine like terms: -112 + 112 = 0
112 + -108x + 22x2 + -4x3 = 0 + 108x + -108x + -22x2 + 22x2 + 4x3 + -4x3
112 + -108x + 22x2 + -4x3 = 108x + -108x + -22x2 + 22x2 + 4x3 + -4x3

Combine like terms: 108x + -108x = 0
112 + -108x + 22x2 + -4x3 = 0 + -22x2 + 22x2 + 4x3 + -4x3
112 + -108x + 22x2 + -4x3 = -22x2 + 22x2 + 4x3 + -4x3

Combine like terms: -22x2 + 22x2 = 0
112 + -108x + 22x2 + -4x3 = 0 + 4x3 + -4x3
112 + -108x + 22x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
112 + -108x + 22x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(56 + -54x + 11x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(56 + -54x + 11x2 + -2x3)' equal to zero and attempt to solve: Simplifying 56 + -54x + 11x2 + -2x3 = 0 Solving 56 + -54x + 11x2 + -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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