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Simplifying 7x2 + 2k + -3x + 1 = 0 Reorder the terms: 1 + 2k + -3x + 7x2 = 0 Solving 1 + 2k + -3x + 7x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2k + -3x + -1 + 7x2 = 0 + -1 Reorder the terms: 1 + -1 + 2k + -3x + 7x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2k + -3x + 7x2 = 0 + -1 2k + -3x + 7x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2k + -3x + 7x2 = -1 Add '3x' to each side of the equation. 2k + -3x + 3x + 7x2 = -1 + 3x Combine like terms: -3x + 3x = 0 2k + 0 + 7x2 = -1 + 3x 2k + 7x2 = -1 + 3x Add '-7x2' to each side of the equation. 2k + 7x2 + -7x2 = -1 + 3x + -7x2 Combine like terms: 7x2 + -7x2 = 0 2k + 0 = -1 + 3x + -7x2 2k = -1 + 3x + -7x2 Divide each side by '2'. k = -0.5 + 1.5x + -3.5x2 Simplifying k = -0.5 + 1.5x + -3.5x2
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