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Simplifying 12x2 + -59xy + 72y2 = 0 Reorder the terms: -59xy + 12x2 + 72y2 = 0 Solving -59xy + 12x2 + 72y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x + -8y)(4x + -9y) = 0Subproblem 1
Set the factor '(3x + -8y)' equal to zero and attempt to solve: Simplifying 3x + -8y = 0 Solving 3x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 3x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 3x + 0 = 0 + 8y 3x = 0 + 8y Remove the zero: 3x = 8y Divide each side by '3'. x = 2.666666667y Simplifying x = 2.666666667ySubproblem 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 = {2.666666667y, 2.25y}
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