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Simplifying 2b2 + -5b + 0 = 0 Reorder the terms: 0 + -5b + 2b2 = 0 Remove the zero: -5b + 2b2 = 0 Solving -5b + 2b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-5 + 2b) = 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 + 2b)' equal to zero and attempt to solve: Simplifying -5 + 2b = 0 Solving -5 + 2b = 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 + 2b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2b = 0 + 5 2b = 0 + 5 Combine like terms: 0 + 5 = 5 2b = 5 Divide each side by '2'. b = 2.5 Simplifying b = 2.5Solution
b = {0, 2.5}
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