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Simplifying 21x2 + -46xy + 13y2 = 0 Reorder the terms: -46xy + 21x2 + 13y2 = 0 Solving -46xy + 21x2 + 13y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -13y)(3x + -1y) = 0Subproblem 1
Set the factor '(7x + -13y)' equal to zero and attempt to solve: Simplifying 7x + -13y = 0 Solving 7x + -13y = 0 Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 7x + -13y + 13y = 0 + 13y Combine like terms: -13y + 13y = 0 7x + 0 = 0 + 13y 7x = 0 + 13y Remove the zero: 7x = 13y Divide each side by '7'. x = 1.857142857y Simplifying x = 1.857142857ySubproblem 2
Set the factor '(3x + -1y)' equal to zero and attempt to solve: Simplifying 3x + -1y = 0 Solving 3x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x + -1y + y = 0 + y Combine like terms: -1y + y = 0 3x + 0 = 0 + y 3x = 0 + y Remove the zero: 3x = y Divide each side by '3'. x = 0.3333333333y Simplifying x = 0.3333333333ySolution
x = {1.857142857y, 0.3333333333y}
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