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Simplifying 3B(B + 3) + -2B(B + 5) = 0 Reorder the terms: 3B(3 + B) + -2B(B + 5) = 0 (3 * 3B + B * 3B) + -2B(B + 5) = 0 (9B + 3B2) + -2B(B + 5) = 0 Reorder the terms: 9B + 3B2 + -2B(5 + B) = 0 9B + 3B2 + (5 * -2B + B * -2B) = 0 9B + 3B2 + (-10B + -2B2) = 0 Reorder the terms: 9B + -10B + 3B2 + -2B2 = 0 Combine like terms: 9B + -10B = -1B -1B + 3B2 + -2B2 = 0 Combine like terms: 3B2 + -2B2 = 1B2 -1B + 1B2 = 0 Solving -1B + 1B2 = 0 Solving for variable 'B'. Factor out the Greatest Common Factor (GCF), 'B'. B(-1 + B) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-1 + B)' equal to zero and attempt to solve: Simplifying -1 + B = 0 Solving -1 + B = 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 + B = 0 + 1 Combine like terms: -1 + 1 = 0 0 + B = 0 + 1 B = 0 + 1 Combine like terms: 0 + 1 = 1 B = 1 Simplifying B = 1Solution
B = {0, 1}
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