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Simplifying x2 + 18xy + 80y2 = 0 Reorder the terms: 18xy + x2 + 80y2 = 0 Solving 18xy + x2 + 80y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 8y)(x + 10y) = 0Subproblem 1
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 = -8ySubproblem 2
Set the factor '(x + 10y)' equal to zero and attempt to solve: Simplifying x + 10y = 0 Solving x + 10y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 x + 0 = 0 + -10y x = 0 + -10y Remove the zero: x = -10y Simplifying x = -10ySolution
x = {-8y, -10y}
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