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Simplifying 10b(10b + -1) = 0 Reorder the terms: 10b(-1 + 10b) = 0 (-1 * 10b + 10b * 10b) = 0 (-10b + 100b2) = 0 Solving -10b + 100b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '10b'. 10b(-1 + 10b) = 0 Ignore the factor 10.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 + 10b)' equal to zero and attempt to solve: Simplifying -1 + 10b = 0 Solving -1 + 10b = 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 + 10b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10b = 0 + 1 10b = 0 + 1 Combine like terms: 0 + 1 = 1 10b = 1 Divide each side by '10'. b = 0.1 Simplifying b = 0.1Solution
b = {0, 0.1}
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