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Simplifying 9x2 + -5xy + -4y2 = 0 Reorder the terms: -5xy + 9x2 + -4y2 = 0 Solving -5xy + 9x2 + -4y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -1y)(9x + 4y) = 0Subproblem 1
Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySubproblem 2
Set the factor '(9x + 4y)' equal to zero and attempt to solve: Simplifying 9x + 4y = 0 Solving 9x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 9x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 9x + 0 = 0 + -4y 9x = 0 + -4y Remove the zero: 9x = -4y Divide each side by '9'. x = -0.4444444444y Simplifying x = -0.4444444444ySolution
x = {y, -0.4444444444y}
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