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Simplifying b2 + 15by + 56y2 = 0 Reorder the terms: 15by + b2 + 56y2 = 0 Solving 15by + b2 + 56y2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 7y)(b + 8y) = 0Subproblem 1
Set the factor '(b + 7y)' equal to zero and attempt to solve: Simplifying b + 7y = 0 Solving b + 7y = 0 Move all terms containing b to the left, all other terms to the right. Add '-7y' to each side of the equation. b + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 b + 0 = 0 + -7y b = 0 + -7y Remove the zero: b = -7y Simplifying b = -7ySubproblem 2
Set the factor '(b + 8y)' equal to zero and attempt to solve: Simplifying b + 8y = 0 Solving b + 8y = 0 Move all terms containing b to the left, all other terms to the right. Add '-8y' to each side of the equation. b + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 b + 0 = 0 + -8y b = 0 + -8y Remove the zero: b = -8y Simplifying b = -8ySolution
b = {-7y, -8y}
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