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Simplifying x2 + -3kx + 1 = 0 Reorder the terms: 1 + -3kx + x2 = 0 Solving 1 + -3kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3kx + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -3kx + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3kx + x2 = 0 + -1 -3kx + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3kx + x2 = -1 Add '-1x2' to each side of the equation. -3kx + x2 + -1x2 = -1 + -1x2 Combine like terms: x2 + -1x2 = 0 -3kx + 0 = -1 + -1x2 -3kx = -1 + -1x2 Divide each side by '-3x'. k = 0.3333333333x-1 + 0.3333333333x Simplifying k = 0.3333333333x-1 + 0.3333333333x
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