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Simplifying (x + 8y)(x + 3y) = 0 Multiply (x + 8y) * (x + 3y) (x(x + 3y) + 8y * (x + 3y)) = 0 ((x * x + 3y * x) + 8y * (x + 3y)) = 0 Reorder the terms: ((3xy + x2) + 8y * (x + 3y)) = 0 ((3xy + x2) + 8y * (x + 3y)) = 0 (3xy + x2 + (x * 8y + 3y * 8y)) = 0 (3xy + x2 + (8xy + 24y2)) = 0 Reorder the terms: (3xy + 8xy + x2 + 24y2) = 0 Combine like terms: 3xy + 8xy = 11xy (11xy + x2 + 24y2) = 0 Solving 11xy + x2 + 24y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 3y)(x + 8y) = 0Subproblem 1
Set the factor '(x + 3y)' equal to zero and attempt to solve: Simplifying x + 3y = 0 Solving x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 x + 0 = 0 + -3y x = 0 + -3y Remove the zero: x = -3y Simplifying x = -3ySubproblem 2
Set the factor '(x + 8y)' equal to zero and attempt to solve: Simplifying x + 8y = 0 Solving x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 x + 0 = 0 + -8y x = 0 + -8y Remove the zero: x = -8y Simplifying x = -8ySolution
x = {-3y, -8y}
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