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Simplifying B3 = 64B Solving B3 = 64B Solving for variable 'B'. Reorder the terms: -64B + B3 = 64B + -64B Combine like terms: 64B + -64B = 0 -64B + B3 = 0 Factor out the Greatest Common Factor (GCF), 'B'. B(-64 + B2) = 0 Factor a difference between two squares. B((8 + B)(-8 + B)) = 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 + B)' equal to zero and attempt to solve: Simplifying 8 + B = 0 Solving 8 + B = 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 + B = 0 + -8 Combine like terms: 8 + -8 = 0 0 + B = 0 + -8 B = 0 + -8 Combine like terms: 0 + -8 = -8 B = -8 Simplifying B = -8Subproblem 3
Set the factor '(-8 + B)' equal to zero and attempt to solve: Simplifying -8 + B = 0 Solving -8 + B = 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 + B = 0 + 8 Combine like terms: -8 + 8 = 0 0 + B = 0 + 8 B = 0 + 8 Combine like terms: 0 + 8 = 8 B = 8 Simplifying B = 8Solution
B = {0, -8, 8}
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