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Simplifying x2 + 2kx + 81 = 0 Reorder the terms: 81 + 2kx + x2 = 0 Solving 81 + 2kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + 2kx + -81 + x2 = 0 + -81 Reorder the terms: 81 + -81 + 2kx + x2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 2kx + x2 = 0 + -81 2kx + x2 = 0 + -81 Combine like terms: 0 + -81 = -81 2kx + x2 = -81 Add '-1x2' to each side of the equation. 2kx + x2 + -1x2 = -81 + -1x2 Combine like terms: x2 + -1x2 = 0 2kx + 0 = -81 + -1x2 2kx = -81 + -1x2 Divide each side by '2x'. k = -40.5x-1 + -0.5x Simplifying k = -40.5x-1 + -0.5x
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