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Simplifying 49x2 + kx + 81 = 0 Reorder the terms: 81 + kx + 49x2 = 0 Solving 81 + kx + 49x2 = 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 + kx + -81 + 49x2 = 0 + -81 Reorder the terms: 81 + -81 + kx + 49x2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + kx + 49x2 = 0 + -81 kx + 49x2 = 0 + -81 Combine like terms: 0 + -81 = -81 kx + 49x2 = -81 Add '-49x2' to each side of the equation. kx + 49x2 + -49x2 = -81 + -49x2 Combine like terms: 49x2 + -49x2 = 0 kx + 0 = -81 + -49x2 kx = -81 + -49x2 Divide each side by 'x'. k = -81x-1 + -49x Simplifying k = -81x-1 + -49x
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