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Simplifying (3b + 4b)(b + -3) = 0 Combine like terms: 3b + 4b = 7b (7b)(b + -3) = 0 Remove parenthesis around (7b) 7b(b + -3) = 0 Reorder the terms: 7b(-3 + b) = 0 (-3 * 7b + b * 7b) = 0 (-21b + 7b2) = 0 Solving -21b + 7b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '7b'. 7b(-3 + b) = 0 Ignore the factor 7.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 = 0Subproblem 2
Set the factor '(-3 + b)' equal to zero and attempt to solve: Simplifying -3 + b = 0 Solving -3 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + b = 0 + 3 b = 0 + 3 Combine like terms: 0 + 3 = 3 b = 3 Simplifying b = 3Solution
b = {0, 3}
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