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Simplifying 4b(b + -1) + -2b(b + -6) = 0 Reorder the terms: 4b(-1 + b) + -2b(b + -6) = 0 (-1 * 4b + b * 4b) + -2b(b + -6) = 0 (-4b + 4b2) + -2b(b + -6) = 0 Reorder the terms: -4b + 4b2 + -2b(-6 + b) = 0 -4b + 4b2 + (-6 * -2b + b * -2b) = 0 -4b + 4b2 + (12b + -2b2) = 0 Reorder the terms: -4b + 12b + 4b2 + -2b2 = 0 Combine like terms: -4b + 12b = 8b 8b + 4b2 + -2b2 = 0 Combine like terms: 4b2 + -2b2 = 2b2 8b + 2b2 = 0 Solving 8b + 2b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(4 + b) = 0 Ignore the factor 2.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 '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 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 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Solution
b = {0, -4}
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