30B*2B=30B

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Solution for 30B*2B=30B equation:


Simplifying
30B * 2B = 30B

Reorder the terms for easier multiplication:
30 * 2B * B = 30B

Multiply 30 * 2
60B * B = 30B

Multiply B * B
60B2 = 30B

Solving
60B2 = 30B

Solving for variable 'B'.

Reorder the terms:
-30B + 60B2 = 30B + -30B

Combine like terms: 30B + -30B = 0
-30B + 60B2 = 0

Factor out the Greatest Common Factor (GCF), '30B'.
30B(-1 + 2B) = 0

Ignore the factor 30.

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 '(-1 + 2B)' equal to zero and attempt to solve: Simplifying -1 + 2B = 0 Solving -1 + 2B = 0 Move all terms containing B to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2B = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2B = 0 + 1 2B = 0 + 1 Combine like terms: 0 + 1 = 1 2B = 1 Divide each side by '2'. B = 0.5 Simplifying B = 0.5

Solution

B = {0, 0.5}

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