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Simplifying 8b2 + 57b + -56 = 0 Reorder the terms: -56 + 57b + 8b2 = 0 Solving -56 + 57b + 8b2 = 0 Solving for variable 'b'. Factor a trinomial. (-8 + -1b)(7 + -8b) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(7 + -8b)' equal to zero and attempt to solve: Simplifying 7 + -8b = 0 Solving 7 + -8b = 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 + -8b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8b = 0 + -7 -8b = 0 + -7 Combine like terms: 0 + -7 = -7 -8b = -7 Divide each side by '-8'. b = 0.875 Simplifying b = 0.875Solution
b = {-8, 0.875}
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