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Simplifying x2 + 24xy + 63y2 = 0 Reorder the terms: 24xy + x2 + 63y2 = 0 Solving 24xy + x2 + 63y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 3y)(x + 21y) = 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 + 21y)' equal to zero and attempt to solve: Simplifying x + 21y = 0 Solving x + 21y = 0 Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. x + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 x + 0 = 0 + -21y x = 0 + -21y Remove the zero: x = -21y Simplifying x = -21ySolution
x = {-3y, -21y}
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