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Simplifying (x + -8)(x + -1k) = x2 + -5kx + m Reorder the terms: (-8 + x)(x + -1k) = x2 + -5kx + m Reorder the terms: (-8 + x)(-1k + x) = x2 + -5kx + m Multiply (-8 + x) * (-1k + x) (-8(-1k + x) + x(-1k + x)) = x2 + -5kx + m ((-1k * -8 + x * -8) + x(-1k + x)) = x2 + -5kx + m ((8k + -8x) + x(-1k + x)) = x2 + -5kx + m (8k + -8x + (-1k * x + x * x)) = x2 + -5kx + m (8k + -8x + (-1kx + x2)) = x2 + -5kx + m Reorder the terms: (8k + -1kx + -8x + x2) = x2 + -5kx + m (8k + -1kx + -8x + x2) = x2 + -5kx + m Reorder the terms: 8k + -1kx + -8x + x2 = -5kx + m + x2 Add '-1x2' to each side of the equation. 8k + -1kx + -8x + x2 + -1x2 = -5kx + m + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8k + -1kx + -8x + 0 = -5kx + m + x2 + -1x2 8k + -1kx + -8x = -5kx + m + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8k + -1kx + -8x = -5kx + m + 0 8k + -1kx + -8x = -5kx + m Solving 8k + -1kx + -8x = -5kx + m Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5kx' to each side of the equation. 8k + -1kx + 5kx + -8x = -5kx + 5kx + m Combine like terms: -1kx + 5kx = 4kx 8k + 4kx + -8x = -5kx + 5kx + m Combine like terms: -5kx + 5kx = 0 8k + 4kx + -8x = 0 + m 8k + 4kx + -8x = m Add '8x' to each side of the equation. 8k + 4kx + -8x + 8x = m + 8x Combine like terms: -8x + 8x = 0 8k + 4kx + 0 = m + 8x 8k + 4kx = m + 8x Reorder the terms: 8k + 4kx + -1m + -8x = m + -1m + 8x + -8x Combine like terms: m + -1m = 0 8k + 4kx + -1m + -8x = 0 + 8x + -8x 8k + 4kx + -1m + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 8k + 4kx + -1m + -8x = 0 The solution to this equation could not be determined.
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