3b(2b-5)=0

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Solution for 3b(2b-5)=0 equation: 


Simplifying
3b(2b + -5) = 0

Reorder the terms:
3b(-5 + 2b) = 0
(-5 * 3b + 2b * 3b) = 0
(-15b + 6b2) = 0

Solving
-15b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(-5 + 2b) = 0

Ignore the factor 3.

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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