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Simplifying 117x2 + -22xy + y2 = 0 Reorder the terms: -22xy + 117x2 + y2 = 0 Solving -22xy + 117x2 + y2 = 0 Solving for variable 'x'. Factor a trinomial. (9x + -1y)(13x + -1y) = 0Subproblem 1
Set the factor '(9x + -1y)' equal to zero and attempt to solve: Simplifying 9x + -1y = 0 Solving 9x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 9x + -1y + y = 0 + y Combine like terms: -1y + y = 0 9x + 0 = 0 + y 9x = 0 + y Remove the zero: 9x = y Divide each side by '9'. x = 0.1111111111y Simplifying x = 0.1111111111ySubproblem 2
Set the factor '(13x + -1y)' equal to zero and attempt to solve: Simplifying 13x + -1y = 0 Solving 13x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 13x + -1y + y = 0 + y Combine like terms: -1y + y = 0 13x + 0 = 0 + y 13x = 0 + y Remove the zero: 13x = y Divide each side by '13'. x = 0.07692307692y Simplifying x = 0.07692307692ySolution
x = {0.1111111111y, 0.07692307692y}
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