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Simplifying 35b2 + -15b = 5b Reorder the terms: -15b + 35b2 = 5b Solving -15b + 35b2 = 5b Solving for variable 'b'. Reorder the terms: -15b + -5b + 35b2 = 5b + -5b Combine like terms: -15b + -5b = -20b -20b + 35b2 = 5b + -5b Combine like terms: 5b + -5b = 0 -20b + 35b2 = 0 Factor out the Greatest Common Factor (GCF), '5b'. 5b(-4 + 7b) = 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 '(-4 + 7b)' equal to zero and attempt to solve: Simplifying -4 + 7b = 0 Solving -4 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7b = 0 + 4 7b = 0 + 4 Combine like terms: 0 + 4 = 4 7b = 4 Divide each side by '7'. b = 0.5714285714 Simplifying b = 0.5714285714Solution
b = {0, 0.5714285714}
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