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Simplifying 5b2k2 + 25bk2 + -250k2 = 0 Reorder the terms: 25bk2 + 5b2k2 + -250k2 = 0 Solving 25bk2 + 5b2k2 + -250k2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5k2'. 5k2(5b + b2 + -50) = 0 Factor a trinomial. 5k2((b + -5)(b + 10)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve: Simplifying k2 = 0 Solving k2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1k2' to each side of the equation. k2 + -1k2 = 0 + -1k2 Remove the zero: 0 = -1k2 Simplifying 0 = -1k2 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 '(b + -5)' equal to zero and attempt to solve: Simplifying b + -5 = 0 Reorder the terms: -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 '(b + 10)' equal to zero and attempt to solve: Simplifying b + 10 = 0 Reorder the terms: 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10Solution
b = {5, -10}
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