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