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Simplifying x2 + 29xy + 100y2 = 0 Reorder the terms: 29xy + x2 + 100y2 = 0 Solving 29xy + x2 + 100y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 4y)(x + 25y) = 0Subproblem 1
Set the factor '(x + 4y)' equal to zero and attempt to solve: Simplifying x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4ySubproblem 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 = {-4y, -25y}
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