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Simplifying 16x2 + -72xy + 81y2 = 0 Reorder the terms: -72xy + 16x2 + 81y2 = 0 Solving -72xy + 16x2 + 81y2 = 0 Solving for variable 'x'. Factor a trinomial. (4x + -9y)(4x + -9y) = 0Subproblem 1
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 = 2.25ySubproblem 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 = {2.25y, 2.25y}
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