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Simplifying 20b + -25b3 = 0 Solving 20b + -25b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(4 + -5b2) = 0 Ignore the factor 5.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 '(4 + -5b2)' equal to zero and attempt to solve: Simplifying 4 + -5b2 = 0 Solving 4 + -5b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5b2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5b2 = 0 + -4 -5b2 = 0 + -4 Combine like terms: 0 + -4 = -4 -5b2 = -4 Divide each side by '-5'. b2 = 0.8 Simplifying b2 = 0.8 Take the square root of each side: b = {-0.894427191, 0.894427191}Solution
b = {0, -0.894427191, 0.894427191}
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