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Simplifying 3x2 + 2kx + 2 = 0 Reorder the terms: 2 + 2kx + 3x2 = 0 Solving 2 + 2kx + 3x2 = 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 + 2kx + -2 + 3x2 = 0 + -2 Reorder the terms: 2 + -2 + 2kx + 3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2kx + 3x2 = 0 + -2 2kx + 3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2kx + 3x2 = -2 Add '-3x2' to each side of the equation. 2kx + 3x2 + -3x2 = -2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2kx + 0 = -2 + -3x2 2kx = -2 + -3x2 Divide each side by '2x'. k = -1x-1 + -1.5x Simplifying k = -1x-1 + -1.5x
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