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Simplifying 81x2 + -180xy + 100y2 = 0 Reorder the terms: -180xy + 81x2 + 100y2 = 0 Solving -180xy + 81x2 + 100y2 = 0 Solving for variable 'x'. Factor a trinomial. (9x + -10y)(9x + -10y) = 0Subproblem 1
Set the factor '(9x + -10y)' equal to zero and attempt to solve: Simplifying 9x + -10y = 0 Solving 9x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 9x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 9x + 0 = 0 + 10y 9x = 0 + 10y Remove the zero: 9x = 10y Divide each side by '9'. x = 1.111111111y Simplifying x = 1.111111111ySubproblem 2
Set the factor '(9x + -10y)' equal to zero and attempt to solve: Simplifying 9x + -10y = 0 Solving 9x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 9x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 9x + 0 = 0 + 10y 9x = 0 + 10y Remove the zero: 9x = 10y Divide each side by '9'. x = 1.111111111y Simplifying x = 1.111111111ySolution
x = {1.111111111y, 1.111111111y}
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