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Simplifying x2 + -1kx + -20k2 = 0 Reorder the terms: -1kx + -20k2 + x2 = 0 Solving -1kx + -20k2 + x2 = 0 Solving for variable 'k'. Factor a trinomial. (-4k + -1x)(5k + -1x) = 0Subproblem 1
Set the factor '(-4k + -1x)' equal to zero and attempt to solve: Simplifying -4k + -1x = 0 Solving -4k + -1x = 0 Move all terms containing k to the left, all other terms to the right. Add 'x' to each side of the equation. -4k + -1x + x = 0 + x Combine like terms: -1x + x = 0 -4k + 0 = 0 + x -4k = 0 + x Remove the zero: -4k = x Divide each side by '-4'. k = -0.25x Simplifying k = -0.25xSubproblem 2
Set the factor '(5k + -1x)' equal to zero and attempt to solve: Simplifying 5k + -1x = 0 Solving 5k + -1x = 0 Move all terms containing k to the left, all other terms to the right. Add 'x' to each side of the equation. 5k + -1x + x = 0 + x Combine like terms: -1x + x = 0 5k + 0 = 0 + x 5k = 0 + x Remove the zero: 5k = x Divide each side by '5'. k = 0.2x Simplifying k = 0.2xSolution
k = {-0.25x, 0.2x}
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