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Simplifying 2b(-6b + -7) + 2b = 0 Reorder the terms: 2b(-7 + -6b) + 2b = 0 (-7 * 2b + -6b * 2b) + 2b = 0 (-14b + -12b2) + 2b = 0 Reorder the terms: -14b + 2b + -12b2 = 0 Combine like terms: -14b + 2b = -12b -12b + -12b2 = 0 Solving -12b + -12b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-12b'. -12b(1 + b) = 0 Ignore the factor -12.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 '(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 = -1Solution
b = {0, -1}
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