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Simplifying 9x2 + -36xy + 11y2 = 0 Reorder the terms: -36xy + 9x2 + 11y2 = 0 Solving -36xy + 9x2 + 11y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x + -11y)(3x + -1y) = 0Subproblem 1
Set the factor '(3x + -11y)' equal to zero and attempt to solve: Simplifying 3x + -11y = 0 Solving 3x + -11y = 0 Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 3x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 3x + 0 = 0 + 11y 3x = 0 + 11y Remove the zero: 3x = 11y Divide each side by '3'. x = 3.666666667y Simplifying x = 3.666666667ySubproblem 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 = {3.666666667y, 0.3333333333y}
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