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Simplifying b(2b + -7) = 0 Reorder the terms: b(-7 + 2b) = 0 (-7 * b + 2b * b) = 0 (-7b + 2b2) = 0 Solving -7b + 2b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-7 + 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 '(-7 + 2b)' equal to zero and attempt to solve: Simplifying -7 + 2b = 0 Solving -7 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2b = 0 + 7 2b = 0 + 7 Combine like terms: 0 + 7 = 7 2b = 7 Divide each side by '2'. b = 3.5 Simplifying b = 3.5Solution
b = {0, 3.5}
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