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Simplifying 16b2 + -26b = 0 Reorder the terms: -26b + 16b2 = 0 Solving -26b + 16b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-13 + 8b) = 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 '(-13 + 8b)' equal to zero and attempt to solve: Simplifying -13 + 8b = 0 Solving -13 + 8b = 0 Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 8b = 0 + 13 8b = 0 + 13 Combine like terms: 0 + 13 = 13 8b = 13 Divide each side by '8'. b = 1.625 Simplifying b = 1.625Solution
b = {0, 1.625}
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