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Simplifying 3x3 + kx2 + -2x + 14 = 0 Reorder the terms: 14 + kx2 + -2x + 3x3 = 0 Solving 14 + kx2 + -2x + 3x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + kx2 + -2x + -14 + 3x3 = 0 + -14 Reorder the terms: 14 + -14 + kx2 + -2x + 3x3 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + kx2 + -2x + 3x3 = 0 + -14 kx2 + -2x + 3x3 = 0 + -14 Combine like terms: 0 + -14 = -14 kx2 + -2x + 3x3 = -14 Add '2x' to each side of the equation. kx2 + -2x + 2x + 3x3 = -14 + 2x Combine like terms: -2x + 2x = 0 kx2 + 0 + 3x3 = -14 + 2x kx2 + 3x3 = -14 + 2x Add '-3x3' to each side of the equation. kx2 + 3x3 + -3x3 = -14 + 2x + -3x3 Combine like terms: 3x3 + -3x3 = 0 kx2 + 0 = -14 + 2x + -3x3 kx2 = -14 + 2x + -3x3 Divide each side by 'x2'. k = -14x-2 + 2x-1 + -3x Simplifying k = -14x-2 + 2x-1 + -3x
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