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Simplifying b3 + 18b2 + 812b = 0 Reorder the terms: 812b + 18b2 + b3 = 0 Solving 812b + 18b2 + b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(812 + 18b + 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 '(812 + 18b + b2)' equal to zero and attempt to solve: Simplifying 812 + 18b + b2 = 0 Solving 812 + 18b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-812' to each side of the equation. 812 + 18b + -812 + b2 = 0 + -812 Reorder the terms: 812 + -812 + 18b + b2 = 0 + -812 Combine like terms: 812 + -812 = 0 0 + 18b + b2 = 0 + -812 18b + b2 = 0 + -812 Combine like terms: 0 + -812 = -812 18b + b2 = -812 The b term is 18b. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18b + 81 + b2 = -812 + 81 Reorder the terms: 81 + 18b + b2 = -812 + 81 Combine like terms: -812 + 81 = -731 81 + 18b + b2 = -731 Factor a perfect square on the left side: (b + 9)(b + 9) = -731 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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