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Simplifying 4b(8b + -4) = 0 Reorder the terms: 4b(-4 + 8b) = 0 (-4 * 4b + 8b * 4b) = 0 (-16b + 32b2) = 0 Solving -16b + 32b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '16b'. 16b(-1 + 2b) = 0 Ignore the factor 16.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 '(-1 + 2b)' equal to zero and attempt to solve: Simplifying -1 + 2b = 0 Solving -1 + 2b = 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 + 2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2b = 0 + 1 2b = 0 + 1 Combine like terms: 0 + 1 = 1 2b = 1 Divide each side by '2'. b = 0.5 Simplifying b = 0.5Solution
b = {0, 0.5}
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