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Simplifying -1b3(3b + 1) + -2b4 = 0 Reorder the terms: -1b3(1 + 3b) + -2b4 = 0 (1 * -1b3 + 3b * -1b3) + -2b4 = 0 (-1b3 + -3b4) + -2b4 = 0 Combine like terms: -3b4 + -2b4 = -5b4 -1b3 + -5b4 = 0 Solving -1b3 + -5b4 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-1b3'. -1b3(1 + 5b) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'b3' equal to zero and attempt to solve: Simplifying b3 = 0 Solving b3 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 5b)' equal to zero and attempt to solve: Simplifying 1 + 5b = 0 Solving 1 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5b = 0 + -1 5b = 0 + -1 Combine like terms: 0 + -1 = -1 5b = -1 Divide each side by '5'. b = -0.2 Simplifying b = -0.2Solution
b = {-0.2}
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