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Simplifying 27x2 + -48xy + 5y2 = 0 Reorder the terms: -48xy + 27x2 + 5y2 = 0 Solving -48xy + 27x2 + 5y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x + -5y)(9x + -1y) = 0Subproblem 1
Set the factor '(3x + -5y)' equal to zero and attempt to solve: Simplifying 3x + -5y = 0 Solving 3x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 3x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 3x + 0 = 0 + 5y 3x = 0 + 5y Remove the zero: 3x = 5y Divide each side by '3'. x = 1.666666667y Simplifying x = 1.666666667ySubproblem 2
Set the factor '(9x + -1y)' equal to zero and attempt to solve: Simplifying 9x + -1y = 0 Solving 9x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 9x + -1y + y = 0 + y Combine like terms: -1y + y = 0 9x + 0 = 0 + y 9x = 0 + y Remove the zero: 9x = y Divide each side by '9'. x = 0.1111111111y Simplifying x = 0.1111111111ySolution
x = {1.666666667y, 0.1111111111y}
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