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Simplifying b2 + -4by + -60y2 = 0 Reorder the terms: -4by + b2 + -60y2 = 0 Solving -4by + b2 + -60y2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -10y)(b + 6y) = 0Subproblem 1
Set the factor '(b + -10y)' equal to zero and attempt to solve: Simplifying b + -10y = 0 Solving b + -10y = 0 Move all terms containing b to the left, all other terms to the right. Add '10y' to each side of the equation. b + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 b + 0 = 0 + 10y b = 0 + 10y Remove the zero: b = 10y Simplifying b = 10ySubproblem 2
Set the factor '(b + 6y)' equal to zero and attempt to solve: Simplifying b + 6y = 0 Solving b + 6y = 0 Move all terms containing b to the left, all other terms to the right. Add '-6y' to each side of the equation. b + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 b + 0 = 0 + -6y b = 0 + -6y Remove the zero: b = -6y Simplifying b = -6ySolution
b = {10y, -6y}
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