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Simplifying x2 + 2kx + 36 = 0 Reorder the terms: 36 + 2kx + x2 = 0 Solving 36 + 2kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 2kx + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + 2kx + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 2kx + x2 = 0 + -36 2kx + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 2kx + x2 = -36 Add '-1x2' to each side of the equation. 2kx + x2 + -1x2 = -36 + -1x2 Combine like terms: x2 + -1x2 = 0 2kx + 0 = -36 + -1x2 2kx = -36 + -1x2 Divide each side by '2x'. k = -18x-1 + -0.5x Simplifying k = -18x-1 + -0.5x
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