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Simplifying x2 + 22xy + -75y2 = 0 Reorder the terms: 22xy + x2 + -75y2 = 0 Solving 22xy + x2 + -75y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -3y)(x + 25y) = 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 + 25y)' equal to zero and attempt to solve: Simplifying x + 25y = 0 Solving x + 25y = 0 Move all terms containing x to the left, all other terms to the right. Add '-25y' to each side of the equation. x + 25y + -25y = 0 + -25y Combine like terms: 25y + -25y = 0 x + 0 = 0 + -25y x = 0 + -25y Remove the zero: x = -25y Simplifying x = -25ySolution
x = {3y, -25y}
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