25b^3=36b

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Solution for 25b^3=36b equation:


Simplifying
25b3 = 36b

Solving
25b3 = 36b

Solving for variable 'b'.

Reorder the terms:
-36b + 25b3 = 36b + -36b

Combine like terms: 36b + -36b = 0
-36b + 25b3 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(-36 + 25b2) = 0

Factor a difference between two squares.
b((6 + 5b)(-6 + 5b)) = 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 '(6 + 5b)' equal to zero and attempt to solve: Simplifying 6 + 5b = 0 Solving 6 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5b = 0 + -6 5b = 0 + -6 Combine like terms: 0 + -6 = -6 5b = -6 Divide each side by '5'. b = -1.2 Simplifying b = -1.2

Subproblem 3

Set the factor '(-6 + 5b)' equal to zero and attempt to solve: Simplifying -6 + 5b = 0 Solving -6 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5b = 0 + 6 5b = 0 + 6 Combine like terms: 0 + 6 = 6 5b = 6 Divide each side by '5'. b = 1.2 Simplifying b = 1.2

Solution

b = {0, -1.2, 1.2}

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