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Simplifying 25b3 + -16b = 0 Reorder the terms: -16b + 25b3 = 0 Solving -16b + 25b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-16 + 25b2) = 0 Factor a difference between two squares. b((4 + 5b)(-4 + 5b)) = 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 '(4 + 5b)' equal to zero and attempt to solve: Simplifying 4 + 5b = 0 Solving 4 + 5b = 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 + 5b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5b = 0 + -4 5b = 0 + -4 Combine like terms: 0 + -4 = -4 5b = -4 Divide each side by '5'. b = -0.8 Simplifying b = -0.8Subproblem 3
Set the factor '(-4 + 5b)' equal to zero and attempt to solve: Simplifying -4 + 5b = 0 Solving -4 + 5b = 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 + 5b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5b = 0 + 4 5b = 0 + 4 Combine like terms: 0 + 4 = 4 5b = 4 Divide each side by '5'. b = 0.8 Simplifying b = 0.8Solution
b = {0, -0.8, 0.8}
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