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Simplifying -4b2 + -4 = -8b Reorder the terms: -4 + -4b2 = -8b Solving -4 + -4b2 = -8b Solving for variable 'b'. Reorder the terms: -4 + 8b + -4b2 = -8b + 8b Combine like terms: -8b + 8b = 0 -4 + 8b + -4b2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + 2b + -1b2) = 0 Factor a trinomial. 4((-1 + b)(1 + -1b)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + b)' equal to zero and attempt to solve: Simplifying -1 + b = 0 Solving -1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + b = 0 + 1 b = 0 + 1 Combine like terms: 0 + 1 = 1 b = 1 Simplifying b = 1Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1Solution
b = {1, 1}
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