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Simplifying (y + -9x)(y + -9x) = 0 Reorder the terms: (-9x + y)(y + -9x) = 0 Reorder the terms: (-9x + y)(-9x + y) = 0 Multiply (-9x + y) * (-9x + y) (-9x * (-9x + y) + y(-9x + y)) = 0 ((-9x * -9x + y * -9x) + y(-9x + y)) = 0 Reorder the terms: ((-9xy + 81x2) + y(-9x + y)) = 0 ((-9xy + 81x2) + y(-9x + y)) = 0 (-9xy + 81x2 + (-9x * y + y * y)) = 0 (-9xy + 81x2 + (-9xy + y2)) = 0 Reorder the terms: (-9xy + -9xy + 81x2 + y2) = 0 Combine like terms: -9xy + -9xy = -18xy (-18xy + 81x2 + y2) = 0 Solving -18xy + 81x2 + y2 = 0 Solving for variable 'x'. Factor a trinomial. (9x + -1y)(9x + -1y) = 0Subproblem 1
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 = 0.1111111111ySubproblem 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 = {0.1111111111y, 0.1111111111y}
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