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Simplifying x2 + 12k + -45 = 0 Reorder the terms: -45 + 12k + x2 = 0 Solving -45 + 12k + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 12k + 45 + x2 = 0 + 45 Reorder the terms: -45 + 45 + 12k + x2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 12k + x2 = 0 + 45 12k + x2 = 0 + 45 Combine like terms: 0 + 45 = 45 12k + x2 = 45 Add '-1x2' to each side of the equation. 12k + x2 + -1x2 = 45 + -1x2 Combine like terms: x2 + -1x2 = 0 12k + 0 = 45 + -1x2 12k = 45 + -1x2 Divide each side by '12'. k = 3.75 + -0.08333333333x2 Simplifying k = 3.75 + -0.08333333333x2
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