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Simplifying (5b + -3b3 + 6b5) + -1(5b3 + -8b5 + -4b) = 0 Remove parenthesis around (5b + -3b3 + 6b5) 5b + -3b3 + 6b5 + -1(5b3 + -8b5 + -4b) = 0 Reorder the terms: 5b + -3b3 + 6b5 + -1(-4b + 5b3 + -8b5) = 0 5b + -3b3 + 6b5 + (-4b * -1 + 5b3 * -1 + -8b5 * -1) = 0 5b + -3b3 + 6b5 + (4b + -5b3 + 8b5) = 0 Reorder the terms: 5b + 4b + -3b3 + -5b3 + 6b5 + 8b5 = 0 Combine like terms: 5b + 4b = 9b 9b + -3b3 + -5b3 + 6b5 + 8b5 = 0 Combine like terms: -3b3 + -5b3 = -8b3 9b + -8b3 + 6b5 + 8b5 = 0 Combine like terms: 6b5 + 8b5 = 14b5 9b + -8b3 + 14b5 = 0 Solving 9b + -8b3 + 14b5 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(9 + -8b2 + 14b4) = 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 '(9 + -8b2 + 14b4)' equal to zero and attempt to solve: Simplifying 9 + -8b2 + 14b4 = 0 Solving 9 + -8b2 + 14b4 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.6428571429 + -0.5714285714b2 + b4 = 0 Move the constant term to the right: Add '-0.6428571429' to each side of the equation. 0.6428571429 + -0.5714285714b2 + -0.6428571429 + b4 = 0 + -0.6428571429 Reorder the terms: 0.6428571429 + -0.6428571429 + -0.5714285714b2 + b4 = 0 + -0.6428571429 Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000 0.0000000000 + -0.5714285714b2 + b4 = 0 + -0.6428571429 -0.5714285714b2 + b4 = 0 + -0.6428571429 Combine like terms: 0 + -0.6428571429 = -0.6428571429 -0.5714285714b2 + b4 = -0.6428571429 The b term is -0.5714285714b2. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714b2 + 0.08163265305 + b4 = -0.6428571429 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714b2 + b4 = -0.6428571429 + 0.08163265305 Combine like terms: -0.6428571429 + 0.08163265305 = -0.56122448985 0.08163265305 + -0.5714285714b2 + b4 = -0.56122448985 Factor a perfect square on the left side: (b2 + -0.2857142857)(b2 + -0.2857142857) = -0.56122448985 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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