100b^3-36b=0

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Solution for 100b^3-36b=0 equation:


Simplifying
100b3 + -36b = 0

Reorder the terms:
-36b + 100b3 = 0

Solving
-36b + 100b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-9 + 25b2) = 0

Factor a difference between two squares.
4b((3 + 5b)(-3 + 5b)) = 0

Ignore the factor 4.

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 '(3 + 5b)' equal to zero and attempt to solve: Simplifying 3 + 5b = 0 Solving 3 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5b = 0 + -3 5b = 0 + -3 Combine like terms: 0 + -3 = -3 5b = -3 Divide each side by '5'. b = -0.6 Simplifying b = -0.6

Subproblem 3

Set the factor '(-3 + 5b)' equal to zero and attempt to solve: Simplifying -3 + 5b = 0 Solving -3 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5b = 0 + 3 5b = 0 + 3 Combine like terms: 0 + 3 = 3 5b = 3 Divide each side by '5'. b = 0.6 Simplifying b = 0.6

Solution

b = {0, -0.6, 0.6}

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