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Simplifying 2kx2 + -4x + 3 = 0 Reorder the terms: 3 + 2kx2 + -4x = 0 Solving 3 + 2kx2 + -4x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2kx2 + -3 + -4x = 0 + -3 Reorder the terms: 3 + -3 + 2kx2 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2kx2 + -4x = 0 + -3 2kx2 + -4x = 0 + -3 Combine like terms: 0 + -3 = -3 2kx2 + -4x = -3 Add '4x' to each side of the equation. 2kx2 + -4x + 4x = -3 + 4x Combine like terms: -4x + 4x = 0 2kx2 + 0 = -3 + 4x 2kx2 = -3 + 4x Divide each side by '2x2'. k = -1.5x-2 + 2x-1 Simplifying k = -1.5x-2 + 2x-1
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