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Simplifying 8x2 + 6x + 6kx + -3 = 0 Reorder the terms: -3 + 6kx + 6x + 8x2 = 0 Solving -3 + 6kx + 6x + 8x2 = 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 + 6kx + 6x + 3 + 8x2 = 0 + 3 Reorder the terms: -3 + 3 + 6kx + 6x + 8x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6kx + 6x + 8x2 = 0 + 3 6kx + 6x + 8x2 = 0 + 3 Combine like terms: 0 + 3 = 3 6kx + 6x + 8x2 = 3 Add '-6x' to each side of the equation. 6kx + 6x + -6x + 8x2 = 3 + -6x Combine like terms: 6x + -6x = 0 6kx + 0 + 8x2 = 3 + -6x 6kx + 8x2 = 3 + -6x Add '-8x2' to each side of the equation. 6kx + 8x2 + -8x2 = 3 + -6x + -8x2 Combine like terms: 8x2 + -8x2 = 0 6kx + 0 = 3 + -6x + -8x2 6kx = 3 + -6x + -8x2 Divide each side by '6x'. k = 0.5x-1 + -1 + -1.333333333x Simplifying k = 0.5x-1 + -1 + -1.333333333x Reorder the terms: k = -1 + 0.5x-1 + -1.333333333x
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