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Simplifying 16b2 + -25b2d4 = 0 Solving 16b2 + -25b2d4 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'b2'. b2(16 + -25d4) = 0 Factor a difference between two squares. b2((4 + 5d2)(4 + -5d2)) = 0Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 2
Set the factor '(4 + 5d2)' equal to zero and attempt to solve: Simplifying 4 + 5d2 = 0 Solving 4 + 5d2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5d2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5d2 = 0 + -4 5d2 = 0 + -4 Combine like terms: 0 + -4 = -4 5d2 = -4 Add '-5d2' to each side of the equation. 5d2 + -5d2 = -4 + -5d2 Combine like terms: 5d2 + -5d2 = 0 0 = -4 + -5d2 Simplifying 0 = -4 + -5d2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -5d2)' equal to zero and attempt to solve: Simplifying 4 + -5d2 = 0 Solving 4 + -5d2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5d2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5d2 = 0 + -4 -5d2 = 0 + -4 Combine like terms: 0 + -4 = -4 -5d2 = -4 Add '5d2' to each side of the equation. -5d2 + 5d2 = -4 + 5d2 Combine like terms: -5d2 + 5d2 = 0 0 = -4 + 5d2 Simplifying 0 = -4 + 5d2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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