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Simplifying 2b3 + -200b = 0 Reorder the terms: -200b + 2b3 = 0 Solving -200b + 2b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-100 + b2) = 0 Factor a difference between two squares. 2b((10 + b)(-10 + b)) = 0 Ignore the factor 2.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 '(10 + b)' equal to zero and attempt to solve: Simplifying 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10Subproblem 3
Set the factor '(-10 + b)' equal to zero and attempt to solve: Simplifying -10 + b = 0 Solving -10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + b = 0 + 10 b = 0 + 10 Combine like terms: 0 + 10 = 10 b = 10 Simplifying b = 10Solution
b = {0, -10, 10}
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