a^3-2ab^2=0

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Solution for a^3-2ab^2=0 equation:


Simplifying
a3 + -2ab2 = 0

Reorder the terms:
-2ab2 + a3 = 0

Solving
-2ab2 + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-2b2 + a2) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(-2b2 + a2)' equal to zero and attempt to solve: Simplifying -2b2 + a2 = 0 Reorder the terms: a2 + -2b2 = 0 Solving a2 + -2b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '2b2' to each side of the equation. a2 + -2b2 + 2b2 = 0 + 2b2 Combine like terms: -2b2 + 2b2 = 0 a2 + 0 = 0 + 2b2 a2 = 0 + 2b2 Remove the zero: a2 = 2b2 Simplifying a2 = 2b2 Take the square root of each side: a = {-1.414213562b, 1.414213562b}

Solution

a = {0, -1.414213562b, 1.414213562b}

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