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Simplifying 15b2 + -20b = 5b Reorder the terms: -20b + 15b2 = 5b Solving -20b + 15b2 = 5b Solving for variable 'b'. Reorder the terms: -20b + -5b + 15b2 = 5b + -5b Combine like terms: -20b + -5b = -25b -25b + 15b2 = 5b + -5b Combine like terms: 5b + -5b = 0 -25b + 15b2 = 0 Factor out the Greatest Common Factor (GCF), '5b'. 5b(-5 + 3b) = 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 + 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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