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Simplifying X2 + -6XY + -7Y2 = 0 Reorder the terms: -6XY + X2 + -7Y2 = 0 Solving -6XY + X2 + -7Y2 = 0 Solving for variable 'X'. Factor a trinomial. (X + -7Y)(X + Y) = 0Subproblem 1
Set the factor '(X + -7Y)' equal to zero and attempt to solve: Simplifying X + -7Y = 0 Solving X + -7Y = 0 Move all terms containing X to the left, all other terms to the right. Add '7Y' to each side of the equation. X + -7Y + 7Y = 0 + 7Y Combine like terms: -7Y + 7Y = 0 X + 0 = 0 + 7Y X = 0 + 7Y Remove the zero: X = 7Y Simplifying X = 7YSubproblem 2
Set the factor '(X + Y)' equal to zero and attempt to solve: Simplifying X + Y = 0 Solving X + Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-1Y' to each side of the equation. X + Y + -1Y = 0 + -1Y Combine like terms: Y + -1Y = 0 X + 0 = 0 + -1Y X = 0 + -1Y Remove the zero: X = -1Y Simplifying X = -1YSolution
X = {7Y, -1Y}
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