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Simplifying 4b2 + -32b + -4 = -4 Reorder the terms: -4 + -32b + 4b2 = -4 Add '4' to each side of the equation. -4 + -32b + 4 + 4b2 = -4 + 4 Reorder the terms: -4 + 4 + -32b + 4b2 = -4 + 4 Combine like terms: -4 + 4 = 0 0 + -32b + 4b2 = -4 + 4 -32b + 4b2 = -4 + 4 Combine like terms: -4 + 4 = 0 -32b + 4b2 = 0 Solving -32b + 4b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(-8 + b) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-8 + b)' equal to zero and attempt to solve: Simplifying -8 + b = 0 Solving -8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + b = 0 + 8 b = 0 + 8 Combine like terms: 0 + 8 = 8 b = 8 Simplifying b = 8Solution
b = {0, 8}
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