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Simplifying 7b2 + 8b + 8 = 8 Reorder the terms: 8 + 8b + 7b2 = 8 Add '-8' to each side of the equation. 8 + 8b + -8 + 7b2 = 8 + -8 Reorder the terms: 8 + -8 + 8b + 7b2 = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 8b + 7b2 = 8 + -8 8b + 7b2 = 8 + -8 Combine like terms: 8 + -8 = 0 8b + 7b2 = 0 Solving 8b + 7b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(8 + 7b) = 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 + 7b)' equal to zero and attempt to solve: Simplifying 8 + 7b = 0 Solving 8 + 7b = 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 + 7b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7b = 0 + -8 7b = 0 + -8 Combine like terms: 0 + -8 = -8 7b = -8 Divide each side by '7'. b = -1.142857143 Simplifying b = -1.142857143Solution
b = {0, -1.142857143}
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