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Simplifying 4b3 + 13b2 = 0 Reorder the terms: 13b2 + 4b3 = 0 Solving 13b2 + 4b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b2'. b2(13 + 4b) = 0Subproblem 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 '(13 + 4b)' equal to zero and attempt to solve: Simplifying 13 + 4b = 0 Solving 13 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4b = 0 + -13 4b = 0 + -13 Combine like terms: 0 + -13 = -13 4b = -13 Divide each side by '4'. b = -3.25 Simplifying b = -3.25Solution
b = {0, -3.25}
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