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Simplifying 26x2 + -19xy + 3y2 = 0 Reorder the terms: -19xy + 26x2 + 3y2 = 0 Solving -19xy + 26x2 + 3y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -1y)(13x + -3y) = 0Subproblem 1
Set the factor '(2x + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5ySubproblem 2
Set the factor '(13x + -3y)' equal to zero and attempt to solve: Simplifying 13x + -3y = 0 Solving 13x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 13x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 13x + 0 = 0 + 3y 13x = 0 + 3y Remove the zero: 13x = 3y Divide each side by '13'. x = 0.2307692308y Simplifying x = 0.2307692308ySolution
x = {0.5y, 0.2307692308y}
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