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Simplifying kx2 + -3x + 4x + 2 = 0 Reorder the terms: 2 + kx2 + -3x + 4x = 0 Combine like terms: -3x + 4x = 1x 2 + kx2 + 1x = 0 Solving 2 + kx2 + 1x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + kx2 + -2 + 1x = 0 + -2 Reorder the terms: 2 + -2 + kx2 + 1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + kx2 + 1x = 0 + -2 kx2 + 1x = 0 + -2 Combine like terms: 0 + -2 = -2 kx2 + 1x = -2 Add '-1x' to each side of the equation. kx2 + 1x + -1x = -2 + -1x Combine like terms: 1x + -1x = 0 kx2 + 0 = -2 + -1x kx2 = -2 + -1x Divide each side by 'x2'. k = -2x-2 + -1x-1 Simplifying k = -2x-2 + -1x-1
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