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Simplifying 6b2 + -20b = 0 Reorder the terms: -20b + 6b2 = 0 Solving -20b + 6b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-10 + 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 = 0Subproblem 2
Set the factor '(-10 + 3b)' equal to zero and attempt to solve: Simplifying -10 + 3b = 0 Solving -10 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3b = 0 + 10 3b = 0 + 10 Combine like terms: 0 + 10 = 10 3b = 10 Divide each side by '3'. b = 3.333333333 Simplifying b = 3.333333333Solution
b = {0, 3.333333333}
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