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Simplifying 2b7 = 8b5 Solving 2b7 = 8b5 Solving for variable 'b'. Reorder the terms: -8b5 + 2b7 = 8b5 + -8b5 Combine like terms: 8b5 + -8b5 = 0 -8b5 + 2b7 = 0 Factor out the Greatest Common Factor (GCF), '2b5'. 2b5(-4 + b2) = 0 Factor a difference between two squares. 2b5((2 + b)(-2 + b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'b5' equal to zero and attempt to solve: Simplifying b5 = 0 Solving b5 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Subproblem 3
Set the factor '(-2 + b)' equal to zero and attempt to solve: Simplifying -2 + b = 0 Solving -2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + b = 0 + 2 b = 0 + 2 Combine like terms: 0 + 2 = 2 b = 2 Simplifying b = 2Solution
b = {-2, 2}
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