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Simplifying 81x2 + kx + 25 = 0 Reorder the terms: 25 + kx + 81x2 = 0 Solving 25 + kx + 81x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + kx + -25 + 81x2 = 0 + -25 Reorder the terms: 25 + -25 + kx + 81x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + kx + 81x2 = 0 + -25 kx + 81x2 = 0 + -25 Combine like terms: 0 + -25 = -25 kx + 81x2 = -25 Add '-81x2' to each side of the equation. kx + 81x2 + -81x2 = -25 + -81x2 Combine like terms: 81x2 + -81x2 = 0 kx + 0 = -25 + -81x2 kx = -25 + -81x2 Divide each side by 'x'. k = -25x-1 + -81x Simplifying k = -25x-1 + -81x
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