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Simplifying (y + -1k)(y + -1k) = 0 Reorder the terms: (-1k + y)(y + -1k) = 0 Reorder the terms: (-1k + y)(-1k + y) = 0 Multiply (-1k + y) * (-1k + y) (-1k * (-1k + y) + y(-1k + y)) = 0 ((-1k * -1k + y * -1k) + y(-1k + y)) = 0 Reorder the terms: ((-1ky + 1k2) + y(-1k + y)) = 0 ((-1ky + 1k2) + y(-1k + y)) = 0 (-1ky + 1k2 + (-1k * y + y * y)) = 0 (-1ky + 1k2 + (-1ky + y2)) = 0 Reorder the terms: (-1ky + -1ky + 1k2 + y2) = 0 Combine like terms: -1ky + -1ky = -2ky (-2ky + 1k2 + y2) = 0 Solving -2ky + 1k2 + y2 = 0 Solving for variable 'k'. Factor a trinomial. (k + -1y)(k + -1y) = 0Subproblem 1
Set the factor '(k + -1y)' equal to zero and attempt to solve: Simplifying k + -1y = 0 Solving k + -1y = 0 Move all terms containing k to the left, all other terms to the right. Add 'y' to each side of the equation. k + -1y + y = 0 + y Combine like terms: -1y + y = 0 k + 0 = 0 + y k = 0 + y Remove the zero: k = y Simplifying k = ySubproblem 2
Set the factor '(k + -1y)' equal to zero and attempt to solve: Simplifying k + -1y = 0 Solving k + -1y = 0 Move all terms containing k to the left, all other terms to the right. Add 'y' to each side of the equation. k + -1y + y = 0 + y Combine like terms: -1y + y = 0 k + 0 = 0 + y k = 0 + y Remove the zero: k = y Simplifying k = ySolution
k = {y, y}
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