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Simplifying lx2 + -1kx + 8 = 0 Reorder the terms: 8 + -1kx + lx2 = 0 Solving 8 + -1kx + lx2 = 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 + -8 + lx2 = 0 + -8 Reorder the terms: 8 + -8 + -1kx + lx2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1kx + lx2 = 0 + -8 -1kx + lx2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1kx + lx2 = -8 Add '-1lx2' to each side of the equation. -1kx + lx2 + -1lx2 = -8 + -1lx2 Combine like terms: lx2 + -1lx2 = 0 -1kx + 0 = -8 + -1lx2 -1kx = -8 + -1lx2 Divide each side by '-1x'. k = 8x-1 + lx Simplifying k = 8x-1 + lx Reorder the terms: k = lx + 8x-1
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