b-81b^3=0

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Solution for b-81b^3=0 equation:


Simplifying
b + -81b3 = 0

Solving
b + -81b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(1 + -81b2) = 0

Factor a difference between two squares.
b((1 + 9b)(1 + -9b)) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 9b)' equal to zero and attempt to solve: Simplifying 1 + 9b = 0 Solving 1 + 9b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9b = 0 + -1 9b = 0 + -1 Combine like terms: 0 + -1 = -1 9b = -1 Divide each side by '9'. b = -0.1111111111 Simplifying b = -0.1111111111

Subproblem 3

Set the factor '(1 + -9b)' equal to zero and attempt to solve: Simplifying 1 + -9b = 0 Solving 1 + -9b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9b = 0 + -1 -9b = 0 + -1 Combine like terms: 0 + -1 = -1 -9b = -1 Divide each side by '-9'. b = 0.1111111111 Simplifying b = 0.1111111111

Solution

b = {0, -0.1111111111, 0.1111111111}

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