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Simplifying 5b(9b + -8) = 0 Reorder the terms: 5b(-8 + 9b) = 0 (-8 * 5b + 9b * 5b) = 0 (-40b + 45b2) = 0 Solving -40b + 45b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(-8 + 9b) = 0 Ignore the factor 5.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 '(-8 + 9b)' equal to zero and attempt to solve: Simplifying -8 + 9b = 0 Solving -8 + 9b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9b = 0 + 8 9b = 0 + 8 Combine like terms: 0 + 8 = 8 9b = 8 Divide each side by '9'. b = 0.8888888889 Simplifying b = 0.8888888889Solution
b = {0, 0.8888888889}
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