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Simplifying 2b(4b + -5) = 0 Reorder the terms: 2b(-5 + 4b) = 0 (-5 * 2b + 4b * 2b) = 0 (-10b + 8b2) = 0 Solving -10b + 8b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-5 + 4b) = 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 '(-5 + 4b)' equal to zero and attempt to solve: Simplifying -5 + 4b = 0 Solving -5 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4b = 0 + 5 4b = 0 + 5 Combine like terms: 0 + 5 = 5 4b = 5 Divide each side by '4'. b = 1.25 Simplifying b = 1.25Solution
b = {0, 1.25}
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