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Simplifying b2 + -2by + -15y2 = 0 Reorder the terms: -2by + b2 + -15y2 = 0 Solving -2by + b2 + -15y2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -5y)(b + 3y) = 0Subproblem 1
Set the factor '(b + -5y)' equal to zero and attempt to solve: Simplifying b + -5y = 0 Solving b + -5y = 0 Move all terms containing b to the left, all other terms to the right. Add '5y' to each side of the equation. b + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 b + 0 = 0 + 5y b = 0 + 5y Remove the zero: b = 5y Simplifying b = 5ySubproblem 2
Set the factor '(b + 3y)' equal to zero and attempt to solve: Simplifying b + 3y = 0 Solving b + 3y = 0 Move all terms containing b to the left, all other terms to the right. Add '-3y' to each side of the equation. b + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 b + 0 = 0 + -3y b = 0 + -3y Remove the zero: b = -3y Simplifying b = -3ySolution
b = {5y, -3y}
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