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Simplifying 2x2 + -1kx + x + 8 = 0 Reorder the terms: 8 + -1kx + x + 2x2 = 0 Solving 8 + -1kx + x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1kx + x + -8 + 2x2 = 0 + -8 Reorder the terms: 8 + -8 + -1kx + x + 2x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1kx + x + 2x2 = 0 + -8 -1kx + x + 2x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1kx + x + 2x2 = -8 Add '-1x' to each side of the equation. -1kx + x + -1x + 2x2 = -8 + -1x Combine like terms: x + -1x = 0 -1kx + 0 + 2x2 = -8 + -1x -1kx + 2x2 = -8 + -1x Add '-2x2' to each side of the equation. -1kx + 2x2 + -2x2 = -8 + -1x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1kx + 0 = -8 + -1x + -2x2 -1kx = -8 + -1x + -2x2 Divide each side by '-1x'. k = 8x-1 + 1 + 2x Simplifying k = 8x-1 + 1 + 2x Reorder the terms: k = 1 + 8x-1 + 2x
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