4b^5-108b^2x^3=0

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Solution for 4b^5-108b^2x^3=0 equation:


Simplifying
4b5 + -108b2x3 = 0

Reorder the terms:
-108b2x3 + 4b5 = 0

Solving
-108b2x3 + 4b5 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b2'.
4b2(-27x3 + b3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}

Subproblem 2

Set the factor '(-27x3 + b3)' equal to zero and attempt to solve: Simplifying -27x3 + b3 = 0 Reorder the terms: b3 + -27x3 = 0 Solving b3 + -27x3 = 0 Move all terms containing b to the left, all other terms to the right. Add '27x3' to each side of the equation. b3 + -27x3 + 27x3 = 0 + 27x3 Combine like terms: -27x3 + 27x3 = 0 b3 + 0 = 0 + 27x3 b3 = 0 + 27x3 Remove the zero: b3 = 27x3 Simplifying b3 = 27x3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

b = {0}

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