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Simplifying 3b2 + 5b + 2 = 2 Reorder the terms: 2 + 5b + 3b2 = 2 Add '-2' to each side of the equation. 2 + 5b + -2 + 3b2 = 2 + -2 Reorder the terms: 2 + -2 + 5b + 3b2 = 2 + -2 Combine like terms: 2 + -2 = 0 0 + 5b + 3b2 = 2 + -2 5b + 3b2 = 2 + -2 Combine like terms: 2 + -2 = 0 5b + 3b2 = 0 Solving 5b + 3b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(5 + 3b) = 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 + 3b)' equal to zero and attempt to solve: Simplifying 5 + 3b = 0 Solving 5 + 3b = 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 + 3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3b = 0 + -5 3b = 0 + -5 Combine like terms: 0 + -5 = -5 3b = -5 Divide each side by '3'. b = -1.666666667 Simplifying b = -1.666666667Solution
b = {0, -1.666666667}
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