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Simplifying 9x2 + -60xy + 100y2 = 0 Reorder the terms: -60xy + 9x2 + 100y2 = 0 Solving -60xy + 9x2 + 100y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x + -10y)(3x + -10y) = 0Subproblem 1
Set the factor '(3x + -10y)' equal to zero and attempt to solve: Simplifying 3x + -10y = 0 Solving 3x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 3x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 3x + 0 = 0 + 10y 3x = 0 + 10y Remove the zero: 3x = 10y Divide each side by '3'. x = 3.333333333y Simplifying x = 3.333333333ySubproblem 2
Set the factor '(3x + -10y)' equal to zero and attempt to solve: Simplifying 3x + -10y = 0 Solving 3x + -10y = 0 Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 3x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 3x + 0 = 0 + 10y 3x = 0 + 10y Remove the zero: 3x = 10y Divide each side by '3'. x = 3.333333333y Simplifying x = 3.333333333ySolution
x = {3.333333333y, 3.333333333y}
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