0=2x^3-8x^2+18x-72

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Solution for 0=2x^3-8x^2+18x-72 equation:


Simplifying
0 = 2x3 + -8x2 + 18x + -72

Reorder the terms:
0 = -72 + 18x + -8x2 + 2x3

Solving
0 = -72 + 18x + -8x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + 72 = 72
72 + -18x + 8x2 + -2x3 = -72 + 18x + -8x2 + 2x3 + 72 + -18x + 8x2 + -2x3

Reorder the terms:
72 + -18x + 8x2 + -2x3 = -72 + 72 + 18x + -18x + -8x2 + 8x2 + 2x3 + -2x3

Combine like terms: -72 + 72 = 0
72 + -18x + 8x2 + -2x3 = 0 + 18x + -18x + -8x2 + 8x2 + 2x3 + -2x3
72 + -18x + 8x2 + -2x3 = 18x + -18x + -8x2 + 8x2 + 2x3 + -2x3

Combine like terms: 18x + -18x = 0
72 + -18x + 8x2 + -2x3 = 0 + -8x2 + 8x2 + 2x3 + -2x3
72 + -18x + 8x2 + -2x3 = -8x2 + 8x2 + 2x3 + -2x3

Combine like terms: -8x2 + 8x2 = 0
72 + -18x + 8x2 + -2x3 = 0 + 2x3 + -2x3
72 + -18x + 8x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
72 + -18x + 8x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -9x + 4x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(36 + -9x + 4x2 + -1x3)' equal to zero and attempt to solve: Simplifying 36 + -9x + 4x2 + -1x3 = 0 Solving 36 + -9x + 4x2 + -1x3 = 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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