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Simplifying 120y2 + -23xy + x2 = 0 Reorder the terms: -23xy + x2 + 120y2 = 0 Solving -23xy + x2 + 120y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -15y)(x + -8y) = 0Subproblem 1
Set the factor '(x + -15y)' equal to zero and attempt to solve: Simplifying x + -15y = 0 Solving x + -15y = 0 Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 x + 0 = 0 + 15y x = 0 + 15y Remove the zero: x = 15y Simplifying x = 15ySubproblem 2
Set the factor '(x + -8y)' equal to zero and attempt to solve: Simplifying x + -8y = 0 Solving x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 x + 0 = 0 + 8y x = 0 + 8y Remove the zero: x = 8y Simplifying x = 8ySolution
x = {15y, 8y}
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