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Simplifying 25b(7b + -85) = 0 Reorder the terms: 25b(-85 + 7b) = 0 (-85 * 25b + 7b * 25b) = 0 (-2125b + 175b2) = 0 Solving -2125b + 175b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '25b'. 25b(-85 + 7b) = 0 Ignore the factor 25.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 '(-85 + 7b)' equal to zero and attempt to solve: Simplifying -85 + 7b = 0 Solving -85 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + 7b = 0 + 85 Combine like terms: -85 + 85 = 0 0 + 7b = 0 + 85 7b = 0 + 85 Combine like terms: 0 + 85 = 85 7b = 85 Divide each side by '7'. b = 12.14285714 Simplifying b = 12.14285714Solution
b = {0, 12.14285714}
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