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Simplifying b3 + -1b2 + 16b = 0 Reorder the terms: 16b + -1b2 + b3 = 0 Solving 16b + -1b2 + b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(16 + -1b + b2) = 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 '(16 + -1b + b2)' equal to zero and attempt to solve: Simplifying 16 + -1b + b2 = 0 Solving 16 + -1b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -1b + -16 + b2 = 0 + -16 Reorder the terms: 16 + -16 + -1b + b2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1b + b2 = 0 + -16 -1b + b2 = 0 + -16 Combine like terms: 0 + -16 = -16 -1b + b2 = -16 The b term is -1b. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1b + 0.25 + b2 = -16 + 0.25 Reorder the terms: 0.25 + -1b + b2 = -16 + 0.25 Combine like terms: -16 + 0.25 = -15.75 0.25 + -1b + b2 = -15.75 Factor a perfect square on the left side: (b + -0.5)(b + -0.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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