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Simplifying -3b + -1b(7b + -8) = 0 Reorder the terms: -3b + -1b(-8 + 7b) = 0 -3b + (-8 * -1b + 7b * -1b) = 0 -3b + (8b + -7b2) = 0 Combine like terms: -3b + 8b = 5b 5b + -7b2 = 0 Solving 5b + -7b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(5 + -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 '(5 + -7b)' equal to zero and attempt to solve: Simplifying 5 + -7b = 0 Solving 5 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7b = 0 + -5 -7b = 0 + -5 Combine like terms: 0 + -5 = -5 -7b = -5 Divide each side by '-7'. b = 0.7142857143 Simplifying b = 0.7142857143Solution
b = {0, 0.7142857143}
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