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Simplifying 20x2 + -36xy + 9y2 = 0 Reorder the terms: -36xy + 20x2 + 9y2 = 0 Solving -36xy + 20x2 + 9y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -3y)(10x + -3y) = 0Subproblem 1
Set the factor '(2x + -3y)' equal to zero and attempt to solve: Simplifying 2x + -3y = 0 Solving 2x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 0 + 3y 2x = 0 + 3y Remove the zero: 2x = 3y Divide each side by '2'. x = 1.5y Simplifying x = 1.5ySubproblem 2
Set the factor '(10x + -3y)' equal to zero and attempt to solve: Simplifying 10x + -3y = 0 Solving 10x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 10x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 10x + 0 = 0 + 3y 10x = 0 + 3y Remove the zero: 10x = 3y Divide each side by '10'. x = 0.3y Simplifying x = 0.3ySolution
x = {1.5y, 0.3y}
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