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Simplifying 94b2 = 1000b Solving 94b2 = 1000b Solving for variable 'b'. Reorder the terms: -1000b + 94b2 = 1000b + -1000b Combine like terms: 1000b + -1000b = 0 -1000b + 94b2 = 0 Factor out the Greatest Common Factor (GCF), '2b'. 2b(-500 + 47b) = 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 '(-500 + 47b)' equal to zero and attempt to solve: Simplifying -500 + 47b = 0 Solving -500 + 47b = 0 Move all terms containing b to the left, all other terms to the right. Add '500' to each side of the equation. -500 + 500 + 47b = 0 + 500 Combine like terms: -500 + 500 = 0 0 + 47b = 0 + 500 47b = 0 + 500 Combine like terms: 0 + 500 = 500 47b = 500 Divide each side by '47'. b = 10.63829787 Simplifying b = 10.63829787Solution
b = {0, 10.63829787}
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