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Simplifying x2 + 14xy + 45y2 = 0 Reorder the terms: 14xy + x2 + 45y2 = 0 Solving 14xy + x2 + 45y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 5y)(x + 9y) = 0Subproblem 1
Set the factor '(x + 5y)' equal to zero and attempt to solve: Simplifying x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5ySubproblem 2
Set the factor '(x + 9y)' equal to zero and attempt to solve: Simplifying x + 9y = 0 Solving x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 x + 0 = 0 + -9y x = 0 + -9y Remove the zero: x = -9y Simplifying x = -9ySolution
x = {-5y, -9y}
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