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Simplifying 8b2 + -2b = 7b2 + 6b Reorder the terms: -2b + 8b2 = 7b2 + 6b Reorder the terms: -2b + 8b2 = 6b + 7b2 Solving -2b + 8b2 = 6b + 7b2 Solving for variable 'b'. Reorder the terms: -2b + -6b + 8b2 + -7b2 = 6b + 7b2 + -6b + -7b2 Combine like terms: -2b + -6b = -8b -8b + 8b2 + -7b2 = 6b + 7b2 + -6b + -7b2 Combine like terms: 8b2 + -7b2 = 1b2 -8b + 1b2 = 6b + 7b2 + -6b + -7b2 Reorder the terms: -8b + 1b2 = 6b + -6b + 7b2 + -7b2 Combine like terms: 6b + -6b = 0 -8b + 1b2 = 0 + 7b2 + -7b2 -8b + 1b2 = 7b2 + -7b2 Combine like terms: 7b2 + -7b2 = 0 -8b + 1b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-8 + b) = 0Subproblem 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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