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Simplifying 5b(7b + -5) = 0 Reorder the terms: 5b(-5 + 7b) = 0 (-5 * 5b + 7b * 5b) = 0 (-25b + 35b2) = 0 Solving -25b + 35b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(-5 + 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 '(-5 + 7b)' equal to zero and attempt to solve: Simplifying -5 + 7b = 0 Solving -5 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7b = 0 + 5 7b = 0 + 5 Combine like terms: 0 + 5 = 5 7b = 5 Divide each side by '7'. b = 0.7142857143 Simplifying b = 0.7142857143Solution
b = {0, 0.7142857143}
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