12b^3-15b^2=

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Solution for 12b^3-15b^2= equation:


Simplifying
12b3 + -15b2 = 0

Reorder the terms:
-15b2 + 12b3 = 0

Solving
-15b2 + 12b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b2'.
3b2(-5 + 4b) = 0

Ignore the factor 3.

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 '(-5 + 4b)' equal to zero and attempt to solve: Simplifying -5 + 4b = 0 Solving -5 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4b = 0 + 5 4b = 0 + 5 Combine like terms: 0 + 5 = 5 4b = 5 Divide each side by '4'. b = 1.25 Simplifying b = 1.25

Solution

b = {0, 1.25}

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