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Simplifying 5x2 + kx + 5 = 0 Reorder the terms: 5 + kx + 5x2 = 0 Solving 5 + kx + 5x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + kx + -5 + 5x2 = 0 + -5 Reorder the terms: 5 + -5 + kx + 5x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + kx + 5x2 = 0 + -5 kx + 5x2 = 0 + -5 Combine like terms: 0 + -5 = -5 kx + 5x2 = -5 Add '-5x2' to each side of the equation. kx + 5x2 + -5x2 = -5 + -5x2 Combine like terms: 5x2 + -5x2 = 0 kx + 0 = -5 + -5x2 kx = -5 + -5x2 Divide each side by 'x'. k = -5x-1 + -5x Simplifying k = -5x-1 + -5x
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