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Simplifying 2x2 + 3kx + 4 = 0 Reorder the terms: 4 + 3kx + 2x2 = 0 Solving 4 + 3kx + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3kx + -4 + 2x2 = 0 + -4 Reorder the terms: 4 + -4 + 3kx + 2x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3kx + 2x2 = 0 + -4 3kx + 2x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3kx + 2x2 = -4 Add '-2x2' to each side of the equation. 3kx + 2x2 + -2x2 = -4 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3kx + 0 = -4 + -2x2 3kx = -4 + -2x2 Divide each side by '3x'. k = -1.333333333x-1 + -0.6666666667x Simplifying k = -1.333333333x-1 + -0.6666666667x
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