0=-4x^3+108x^2-36

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Solution for 0=-4x^3+108x^2-36 equation:


Simplifying
0 = -4x3 + 108x2 + -36

Reorder the terms:
0 = -36 + 108x2 + -4x3

Solving
0 = -36 + 108x2 + -4x3

Solving for variable 'x'.

Combine like terms: 0 + 36 = 36
36 + -108x2 + 4x3 = -36 + 108x2 + -4x3 + 36 + -108x2 + 4x3

Reorder the terms:
36 + -108x2 + 4x3 = -36 + 36 + 108x2 + -108x2 + -4x3 + 4x3

Combine like terms: -36 + 36 = 0
36 + -108x2 + 4x3 = 0 + 108x2 + -108x2 + -4x3 + 4x3
36 + -108x2 + 4x3 = 108x2 + -108x2 + -4x3 + 4x3

Combine like terms: 108x2 + -108x2 = 0
36 + -108x2 + 4x3 = 0 + -4x3 + 4x3
36 + -108x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
36 + -108x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -27x2 + x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(9 + -27x2 + x3)' equal to zero and attempt to solve: Simplifying 9 + -27x2 + x3 = 0 Solving 9 + -27x2 + 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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