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Simplifying 7b3 = 63b Solving 7b3 = 63b Solving for variable 'b'. Reorder the terms: -63b + 7b3 = 63b + -63b Combine like terms: 63b + -63b = 0 -63b + 7b3 = 0 Factor out the Greatest Common Factor (GCF), '7b'. 7b(-9 + b2) = 0 Factor a difference between two squares. 7b((3 + b)(-3 + b)) = 0 Ignore the factor 7.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 '(3 + b)' equal to zero and attempt to solve: Simplifying 3 + b = 0 Solving 3 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + b = 0 + -3 b = 0 + -3 Combine like terms: 0 + -3 = -3 b = -3 Simplifying b = -3Subproblem 3
Set the factor '(-3 + b)' equal to zero and attempt to solve: Simplifying -3 + b = 0 Solving -3 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + b = 0 + 3 b = 0 + 3 Combine like terms: 0 + 3 = 3 b = 3 Simplifying b = 3Solution
b = {0, -3, 3}
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