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Simplifying 4b3 + -8b2 + 16b = 0 Reorder the terms: 16b + -8b2 + 4b3 = 0 Solving 16b + -8b2 + 4b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(4 + -2b + b2) = 0 Ignore the factor 4.Subproblem 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 '(4 + -2b + b2)' equal to zero and attempt to solve: Simplifying 4 + -2b + b2 = 0 Solving 4 + -2b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2b + -4 + b2 = 0 + -4 Reorder the terms: 4 + -4 + -2b + b2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2b + b2 = 0 + -4 -2b + b2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2b + b2 = -4 The b term is -2b. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2b + 1 + b2 = -4 + 1 Reorder the terms: 1 + -2b + b2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + -2b + b2 = -3 Factor a perfect square on the left side: (b + -1)(b + -1) = -3 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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