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Simplifying 2b * 1b = 37b Reorder the terms for easier multiplication: 2 * 1b * b = 37b Multiply 2 * 1 2b * b = 37b Multiply b * b 2b2 = 37b Solving 2b2 = 37b Solving for variable 'b'. Reorder the terms: -37b + 2b2 = 37b + -37b Combine like terms: 37b + -37b = 0 -37b + 2b2 = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-37 + 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 '(-37 + 2b)' equal to zero and attempt to solve: Simplifying -37 + 2b = 0 Solving -37 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 2b = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 2b = 0 + 37 2b = 0 + 37 Combine like terms: 0 + 37 = 37 2b = 37 Divide each side by '2'. b = 18.5 Simplifying b = 18.5Solution
b = {0, 18.5}
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