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Simplifying 3b(5b + -3) = 0 Reorder the terms: 3b(-3 + 5b) = 0 (-3 * 3b + 5b * 3b) = 0 (-9b + 15b2) = 0 Solving -9b + 15b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(-3 + 5b) = 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 = 0Subproblem 2
Set the factor '(-3 + 5b)' equal to zero and attempt to solve: Simplifying -3 + 5b = 0 Solving -3 + 5b = 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 + 5b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5b = 0 + 3 5b = 0 + 3 Combine like terms: 0 + 3 = 3 5b = 3 Divide each side by '5'. b = 0.6 Simplifying b = 0.6Solution
b = {0, 0.6}
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