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Simplifying 6b2 + -8b = 0 Reorder the terms: -8b + 6b2 = 0 Solving -8b + 6b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-4 + 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 '(-4 + 3b)' equal to zero and attempt to solve: Simplifying -4 + 3b = 0 Solving -4 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3b = 0 + 4 3b = 0 + 4 Combine like terms: 0 + 4 = 4 3b = 4 Divide each side by '3'. b = 1.333333333 Simplifying b = 1.333333333Solution
b = {0, 1.333333333}
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