12b^2=30b

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Solution for 12b^2=30b equation:


Simplifying
12b2 = 30b

Solving
12b2 = 30b

Solving for variable 'b'.

Reorder the terms:
-30b + 12b2 = 30b + -30b

Combine like terms: 30b + -30b = 0
-30b + 12b2 = 0

Factor out the Greatest Common Factor (GCF), '6b'.
6b(-5 + 2b) = 0

Ignore the factor 6.

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 '(-5 + 2b)' equal to zero and attempt to solve: Simplifying -5 + 2b = 0 Solving -5 + 2b = 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 + 2b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2b = 0 + 5 2b = 0 + 5 Combine like terms: 0 + 5 = 5 2b = 5 Divide each side by '2'. b = 2.5 Simplifying b = 2.5

Solution

b = {0, 2.5}

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