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Simplifying x2 + -27xy + 26y2 = 0 Reorder the terms: -27xy + x2 + 26y2 = 0 Solving -27xy + x2 + 26y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -26y)(x + -1y) = 0Subproblem 1
Set the factor '(x + -26y)' equal to zero and attempt to solve: Simplifying x + -26y = 0 Solving x + -26y = 0 Move all terms containing x to the left, all other terms to the right. Add '26y' to each side of the equation. x + -26y + 26y = 0 + 26y Combine like terms: -26y + 26y = 0 x + 0 = 0 + 26y x = 0 + 26y Remove the zero: x = 26y Simplifying x = 26ySubproblem 2
Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySolution
x = {26y, y}
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