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Simplifying 0.4x2 + 1.4x + k = 7 Reorder the terms: k + 1.4x + 0.4x2 = 7 Solving k + 1.4x + 0.4x2 = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.4x' to each side of the equation. k + 1.4x + -1.4x + 0.4x2 = 7 + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 k + 0.0 + 0.4x2 = 7 + -1.4x k + 0.4x2 = 7 + -1.4x Add '-0.4x2' to each side of the equation. k + 0.4x2 + -0.4x2 = 7 + -1.4x + -0.4x2 Combine like terms: 0.4x2 + -0.4x2 = 0.0 k + 0.0 = 7 + -1.4x + -0.4x2 k = 7 + -1.4x + -0.4x2 Simplifying k = 7 + -1.4x + -0.4x2
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