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Simplifying 2b(8b + -0.5) = 0 Reorder the terms: 2b(-0.5 + 8b) = 0 (-0.5 * 2b + 8b * 2b) = 0 (-1b + 16b2) = 0 Solving -1b + 16b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-1 + 16b) = 0Subproblem 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 '(-1 + 16b)' equal to zero and attempt to solve: Simplifying -1 + 16b = 0 Solving -1 + 16b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 16b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 16b = 0 + 1 16b = 0 + 1 Combine like terms: 0 + 1 = 1 16b = 1 Divide each side by '16'. b = 0.0625 Simplifying b = 0.0625Solution
b = {0, 0.0625}
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