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Simplifying -3x2 + 7kx + x = 0 Reorder the terms: 7kx + x + -3x2 = 0 Solving 7kx + x + -3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x' to each side of the equation. 7kx + x + -1x + -3x2 = 0 + -1x Combine like terms: x + -1x = 0 7kx + 0 + -3x2 = 0 + -1x 7kx + -3x2 = 0 + -1x Remove the zero: 7kx + -3x2 = -1x Add '3x2' to each side of the equation. 7kx + -3x2 + 3x2 = -1x + 3x2 Combine like terms: -3x2 + 3x2 = 0 7kx + 0 = -1x + 3x2 7kx = -1x + 3x2 Divide each side by '7x'. k = -0.1428571429 + 0.4285714286x Simplifying k = -0.1428571429 + 0.4285714286x
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