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Simplifying 3b6 = 75b4 Solving 3b6 = 75b4 Solving for variable 'b'. Reorder the terms: -75b4 + 3b6 = 75b4 + -75b4 Combine like terms: 75b4 + -75b4 = 0 -75b4 + 3b6 = 0 Factor out the Greatest Common Factor (GCF), '3b4'. 3b4(-25 + b2) = 0 Factor a difference between two squares. 3b4((5 + b)(-5 + b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'b4' equal to zero and attempt to solve: Simplifying b4 = 0 Solving b4 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b4 = 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 '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Subproblem 3
Set the factor '(-5 + b)' equal to zero and attempt to solve: Simplifying -5 + b = 0 Solving -5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + b = 0 + 5 b = 0 + 5 Combine like terms: 0 + 5 = 5 b = 5 Simplifying b = 5Solution
b = {-5, 5}
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