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Simplifying 4b(7b2 + -2b + 7) = 0 Reorder the terms: 4b(7 + -2b + 7b2) = 0 (7 * 4b + -2b * 4b + 7b2 * 4b) = 0 (28b + -8b2 + 28b3) = 0 Solving 28b + -8b2 + 28b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(7 + -2b + 7b2) = 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 '(7 + -2b + 7b2)' equal to zero and attempt to solve: Simplifying 7 + -2b + 7b2 = 0 Solving 7 + -2b + 7b2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + -0.2857142857b + b2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.2857142857b + -1 + b2 = 0 + -1 Reorder the terms: 1 + -1 + -0.2857142857b + b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2857142857b + b2 = 0 + -1 -0.2857142857b + b2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.2857142857b + b2 = -1 The b term is -0.2857142857b. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857b + 0.02040816328 + b2 = -1 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857b + b2 = -1 + 0.02040816328 Combine like terms: -1 + 0.02040816328 = -0.97959183672 0.02040816328 + -0.2857142857b + b2 = -0.97959183672 Factor a perfect square on the left side: (b + -0.1428571429)(b + -0.1428571429) = -0.97959183672 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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