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Simplifying b2 + -56 = 10b Reorder the terms: -56 + b2 = 10b Solving -56 + b2 = 10b Solving for variable 'b'. Reorder the terms: -56 + -10b + b2 = 10b + -10b Combine like terms: 10b + -10b = 0 -56 + -10b + b2 = 0 Factor a trinomial. (-4 + -1b)(14 + -1b) = 0Subproblem 1
Set the factor '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4Subproblem 2
Set the factor '(14 + -1b)' equal to zero and attempt to solve: Simplifying 14 + -1b = 0 Solving 14 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1b = 0 + -14 -1b = 0 + -14 Combine like terms: 0 + -14 = -14 -1b = -14 Divide each side by '-1'. b = 14 Simplifying b = 14Solution
b = {-4, 14}
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