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Simplifying 2b2 + -30b = 4b2 Reorder the terms: -30b + 2b2 = 4b2 Solving -30b + 2b2 = 4b2 Solving for variable 'b'. Combine like terms: 2b2 + -4b2 = -2b2 -30b + -2b2 = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -30b + -2b2 = 0 Factor out the Greatest Common Factor (GCF), '-2b'. -2b(15 + b) = 0 Ignore the factor -2.Subproblem 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 '(15 + b)' equal to zero and attempt to solve: Simplifying 15 + b = 0 Solving 15 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + b = 0 + -15 b = 0 + -15 Combine like terms: 0 + -15 = -15 b = -15 Simplifying b = -15Solution
b = {0, -15}
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