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Simplifying 6b3 + -10b2 = 0 Reorder the terms: -10b2 + 6b3 = 0 Solving -10b2 + 6b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b2'. 2b2(-5 + 3b) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 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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