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Simplifying 4x2 + 8k + 5 = 0 Reorder the terms: 5 + 8k + 4x2 = 0 Solving 5 + 8k + 4x2 = 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 + 8k + -5 + 4x2 = 0 + -5 Reorder the terms: 5 + -5 + 8k + 4x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8k + 4x2 = 0 + -5 8k + 4x2 = 0 + -5 Combine like terms: 0 + -5 = -5 8k + 4x2 = -5 Add '-4x2' to each side of the equation. 8k + 4x2 + -4x2 = -5 + -4x2 Combine like terms: 4x2 + -4x2 = 0 8k + 0 = -5 + -4x2 8k = -5 + -4x2 Divide each side by '8'. k = -0.625 + -0.5x2 Simplifying k = -0.625 + -0.5x2
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