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Simplifying x2 + -1kx + -2k2 = 0 Reorder the terms: -1kx + -2k2 + x2 = 0 Solving -1kx + -2k2 + x2 = 0 Solving for variable 'k'. Factor a trinomial. (-1k + -1x)(2k + -1x) = 0Subproblem 1
Set the factor '(-1k + -1x)' equal to zero and attempt to solve: Simplifying -1k + -1x = 0 Solving -1k + -1x = 0 Move all terms containing k to the left, all other terms to the right. Add 'x' to each side of the equation. -1k + -1x + x = 0 + x Combine like terms: -1x + x = 0 -1k + 0 = 0 + x -1k = 0 + x Remove the zero: -1k = x Divide each side by '-1'. k = -1x Simplifying k = -1xSubproblem 2
Set the factor '(2k + -1x)' equal to zero and attempt to solve: Simplifying 2k + -1x = 0 Solving 2k + -1x = 0 Move all terms containing k to the left, all other terms to the right. Add 'x' to each side of the equation. 2k + -1x + x = 0 + x Combine like terms: -1x + x = 0 2k + 0 = 0 + x 2k = 0 + x Remove the zero: 2k = x Divide each side by '2'. k = 0.5x Simplifying k = 0.5xSolution
k = {-1x, 0.5x}
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