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Simplifying 10b3 + 4b2 = 0 Reorder the terms: 4b2 + 10b3 = 0 Solving 4b2 + 10b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b2'. 2b2(2 + 5b) = 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 '(2 + 5b)' equal to zero and attempt to solve: Simplifying 2 + 5b = 0 Solving 2 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5b = 0 + -2 5b = 0 + -2 Combine like terms: 0 + -2 = -2 5b = -2 Divide each side by '5'. b = -0.4 Simplifying b = -0.4Solution
b = {0, -0.4}
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