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Simplifying 5b(6b + -10) = 0 Reorder the terms: 5b(-10 + 6b) = 0 (-10 * 5b + 6b * 5b) = 0 (-50b + 30b2) = 0 Solving -50b + 30b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '10b'. 10b(-5 + 3b) = 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 '(-5 + 3b)' equal to zero and attempt to solve: Simplifying -5 + 3b = 0 Solving -5 + 3b = 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 + 3b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3b = 0 + 5 3b = 0 + 5 Combine like terms: 0 + 5 = 5 3b = 5 Divide each side by '3'. b = 1.666666667 Simplifying b = 1.666666667Solution
b = {0, 1.666666667}
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