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Simplifying 20x2 + 29xy + -36y2 = 0 Reorder the terms: 29xy + 20x2 + -36y2 = 0 Solving 29xy + 20x2 + -36y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -4y)(4x + 9y) = 0Subproblem 1
Set the factor '(5x + -4y)' equal to zero and attempt to solve: Simplifying 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8ySubproblem 2
Set the factor '(4x + 9y)' equal to zero and attempt to solve: Simplifying 4x + 9y = 0 Solving 4x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 4x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 4x + 0 = 0 + -9y 4x = 0 + -9y Remove the zero: 4x = -9y Divide each side by '4'. x = -2.25y Simplifying x = -2.25ySolution
x = {0.8y, -2.25y}
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