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Simplifying 6b2 = 7b Solving 6b2 = 7b Solving for variable 'b'. Reorder the terms: -7b + 6b2 = 7b + -7b Combine like terms: 7b + -7b = 0 -7b + 6b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-7 + 6b) = 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 '(-7 + 6b)' equal to zero and attempt to solve: Simplifying -7 + 6b = 0 Solving -7 + 6b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6b = 0 + 7 6b = 0 + 7 Combine like terms: 0 + 7 = 7 6b = 7 Divide each side by '6'. b = 1.166666667 Simplifying b = 1.166666667Solution
b = {0, 1.166666667}
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