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Simplifying 100x2 + -20xy + y2 = 0 Reorder the terms: -20xy + 100x2 + y2 = 0 Solving -20xy + 100x2 + y2 = 0 Solving for variable 'x'. Factor a trinomial. (10x + -1y)(10x + -1y) = 0Subproblem 1
Set the factor '(10x + -1y)' equal to zero and attempt to solve: Simplifying 10x + -1y = 0 Solving 10x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 10x + -1y + y = 0 + y Combine like terms: -1y + y = 0 10x + 0 = 0 + y 10x = 0 + y Remove the zero: 10x = y Divide each side by '10'. x = 0.1y Simplifying x = 0.1ySubproblem 2
Set the factor '(10x + -1y)' equal to zero and attempt to solve: Simplifying 10x + -1y = 0 Solving 10x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 10x + -1y + y = 0 + y Combine like terms: -1y + y = 0 10x + 0 = 0 + y 10x = 0 + y Remove the zero: 10x = y Divide each side by '10'. x = 0.1y Simplifying x = 0.1ySolution
x = {0.1y, 0.1y}
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