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Simplifying 4b7 + 4b4 + 3b = 0 Reorder the terms: 3b + 4b4 + 4b7 = 0 Solving 3b + 4b4 + 4b7 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(3 + 4b3 + 4b6) = 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 + 4b3 + 4b6)' equal to zero and attempt to solve: Simplifying 3 + 4b3 + 4b6 = 0 Solving 3 + 4b3 + 4b6 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + b3 + b6 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + b3 + -0.75 + b6 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + b3 + b6 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + b3 + b6 = 0 + -0.75 b3 + b6 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 b3 + b6 = -0.75 The b term is b3. 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. + 0.25 + b6 = -0.75 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + b6 = -0.75 + 0.25 Combine like terms: -0.75 + 0.25 = -0.5 1.25 + b6 = -0.5 Factor a perfect square on the left side: (b3 + 0.5)(b3 + 0.5) = -0.5 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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