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Simplifying 64b + -25b3 = 0 Solving 64b + -25b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(64 + -25b2) = 0 Factor a difference between two squares. b((8 + 5b)(8 + -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 '(8 + 5b)' equal to zero and attempt to solve: Simplifying 8 + 5b = 0 Solving 8 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5b = 0 + -8 5b = 0 + -8 Combine like terms: 0 + -8 = -8 5b = -8 Divide each side by '5'. b = -1.6 Simplifying b = -1.6Subproblem 3
Set the factor '(8 + -5b)' equal to zero and attempt to solve: Simplifying 8 + -5b = 0 Solving 8 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5b = 0 + -8 -5b = 0 + -8 Combine like terms: 0 + -8 = -8 -5b = -8 Divide each side by '-5'. b = 1.6 Simplifying b = 1.6Solution
b = {0, -1.6, 1.6}
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