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Simplifying x2 + 19xy + -92y2 = 0 Reorder the terms: 19xy + x2 + -92y2 = 0 Solving 19xy + x2 + -92y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -4y)(x + 23y) = 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 + 23y)' equal to zero and attempt to solve: Simplifying x + 23y = 0 Solving x + 23y = 0 Move all terms containing x to the left, all other terms to the right. Add '-23y' to each side of the equation. x + 23y + -23y = 0 + -23y Combine like terms: 23y + -23y = 0 x + 0 = 0 + -23y x = 0 + -23y Remove the zero: x = -23y Simplifying x = -23ySolution
x = {4y, -23y}
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