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Simplifying b(b + -2) = 48 Reorder the terms: b(-2 + b) = 48 (-2 * b + b * b) = 48 (-2b + b2) = 48 Solving -2b + b2 = 48 Solving for variable 'b'. Reorder the terms: -48 + -2b + b2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -2b + b2 = 0 Factor a trinomial. (-6 + -1b)(8 + -1b) = 0Subproblem 1
Set the factor '(-6 + -1b)' equal to zero and attempt to solve: Simplifying -6 + -1b = 0 Solving -6 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1b = 0 + 6 -1b = 0 + 6 Combine like terms: 0 + 6 = 6 -1b = 6 Divide each side by '-1'. b = -6 Simplifying b = -6Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Solution
b = {-6, 8}
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