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Simplifying (8b3 + -5b2) * 2b4 = 0 Reorder the terms: (-5b2 + 8b3) * 2b4 = 0 Reorder the terms for easier multiplication: 2b4(-5b2 + 8b3) = 0 (-5b2 * 2b4 + 8b3 * 2b4) = 0 (-10b6 + 16b7) = 0 Solving -10b6 + 16b7 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b6'. 2b6(-5 + 8b) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b6' equal to zero and attempt to solve: Simplifying b6 = 0 Solving b6 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b6 = 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 '(-5 + 8b)' equal to zero and attempt to solve: Simplifying -5 + 8b = 0 Solving -5 + 8b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8b = 0 + 5 8b = 0 + 5 Combine like terms: 0 + 5 = 5 8b = 5 Divide each side by '8'. b = 0.625 Simplifying b = 0.625Solution
b = {0.625}
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