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Simplifying 16b3 + -9b = 0 Reorder the terms: -9b + 16b3 = 0 Solving -9b + 16b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-9 + 16b2) = 0 Factor a difference between two squares. b((3 + 4b)(-3 + 4b)) = 0Subproblem 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 '(3 + 4b)' equal to zero and attempt to solve: Simplifying 3 + 4b = 0 Solving 3 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4b = 0 + -3 4b = 0 + -3 Combine like terms: 0 + -3 = -3 4b = -3 Divide each side by '4'. b = -0.75 Simplifying b = -0.75Subproblem 3
Set the factor '(-3 + 4b)' equal to zero and attempt to solve: Simplifying -3 + 4b = 0 Solving -3 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4b = 0 + 3 4b = 0 + 3 Combine like terms: 0 + 3 = 3 4b = 3 Divide each side by '4'. b = 0.75 Simplifying b = 0.75Solution
b = {0, -0.75, 0.75}
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