2b(3b-2)=0

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


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

Reorder the terms:
2b(-2 + 3b) = 0
(-2 * 2b + 3b * 2b) = 0
(-4b + 6b2) = 0

Solving
-4b + 6b2 = 0

Solving for variable 'b'.

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

Ignore the factor 2.

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 '(-2 + 3b)' equal to zero and attempt to solve: Simplifying -2 + 3b = 0 Solving -2 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3b = 0 + 2 3b = 0 + 2 Combine like terms: 0 + 2 = 2 3b = 2 Divide each side by '3'. b = 0.6666666667 Simplifying b = 0.6666666667

Solution

b = {0, 0.6666666667}

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