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Simplifying 24b2 + -6b = 4b2 + -2b Reorder the terms: -6b + 24b2 = 4b2 + -2b Reorder the terms: -6b + 24b2 = -2b + 4b2 Solving -6b + 24b2 = -2b + 4b2 Solving for variable 'b'. Reorder the terms: -6b + 2b + 24b2 + -4b2 = -2b + 4b2 + 2b + -4b2 Combine like terms: -6b + 2b = -4b -4b + 24b2 + -4b2 = -2b + 4b2 + 2b + -4b2 Combine like terms: 24b2 + -4b2 = 20b2 -4b + 20b2 = -2b + 4b2 + 2b + -4b2 Reorder the terms: -4b + 20b2 = -2b + 2b + 4b2 + -4b2 Combine like terms: -2b + 2b = 0 -4b + 20b2 = 0 + 4b2 + -4b2 -4b + 20b2 = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -4b + 20b2 = 0 Factor out the Greatest Common Factor (GCF), '4b'. 4b(-1 + 5b) = 0 Ignore the factor 4.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 '(-1 + 5b)' equal to zero and attempt to solve: Simplifying -1 + 5b = 0 Solving -1 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5b = 0 + 1 5b = 0 + 1 Combine like terms: 0 + 1 = 1 5b = 1 Divide each side by '5'. b = 0.2 Simplifying b = 0.2Solution
b = {0, 0.2}
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