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Simplifying -1(x + -8)(x + -1k) = x2 + -5kx + m Reorder the terms: -1(-8 + x)(x + -1k) = x2 + -5kx + m Reorder the terms: -1(-8 + x)(-1k + x) = x2 + -5kx + m Multiply (-8 + x) * (-1k + x) -1(-8(-1k + x) + x(-1k + x)) = x2 + -5kx + m -1((-1k * -8 + x * -8) + x(-1k + x)) = x2 + -5kx + m -1((8k + -8x) + x(-1k + x)) = x2 + -5kx + m -1(8k + -8x + (-1k * x + x * x)) = x2 + -5kx + m -1(8k + -8x + (-1kx + x2)) = x2 + -5kx + m Reorder the terms: -1(8k + -1kx + -8x + x2) = x2 + -5kx + m -1(8k + -1kx + -8x + x2) = x2 + -5kx + m (8k * -1 + -1kx * -1 + -8x * -1 + x2 * -1) = x2 + -5kx + m (-8k + 1kx + 8x + -1x2) = x2 + -5kx + m Reorder the terms: -8k + 1kx + 8x + -1x2 = -5kx + m + x2 Solving -8k + 1kx + 8x + -1x2 = -5kx + m + x2 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 + 8x + 5kx + -1x2 = -5kx + m + 5kx + x2 Reorder the terms: -8k + 1kx + 5kx + 8x + -1x2 = -5kx + m + 5kx + x2 Combine like terms: 1kx + 5kx = 6kx -8k + 6kx + 8x + -1x2 = -5kx + m + 5kx + x2 Reorder the terms: -8k + 6kx + 8x + -1x2 = -5kx + 5kx + m + x2 Combine like terms: -5kx + 5kx = 0 -8k + 6kx + 8x + -1x2 = 0 + m + x2 -8k + 6kx + 8x + -1x2 = m + x2 Add '-8x' to each side of the equation. -8k + 6kx + 8x + -8x + -1x2 = m + -8x + x2 Combine like terms: 8x + -8x = 0 -8k + 6kx + 0 + -1x2 = m + -8x + x2 -8k + 6kx + -1x2 = m + -8x + x2 Add 'x2' to each side of the equation. -8k + 6kx + -1x2 + x2 = m + -8x + x2 + x2 Combine like terms: -1x2 + x2 = 0 -8k + 6kx + 0 = m + -8x + x2 + x2 -8k + 6kx = m + -8x + x2 + x2 Combine like terms: x2 + x2 = 2x2 -8k + 6kx = m + -8x + 2x2 Reorder the terms: -8k + 6kx + -1m + 8x + -2x2 = m + -1m + -8x + 8x + 2x2 + -2x2 Combine like terms: m + -1m = 0 -8k + 6kx + -1m + 8x + -2x2 = 0 + -8x + 8x + 2x2 + -2x2 -8k + 6kx + -1m + 8x + -2x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 -8k + 6kx + -1m + 8x + -2x2 = 0 + 2x2 + -2x2 -8k + 6kx + -1m + 8x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8k + 6kx + -1m + 8x + -2x2 = 0 The solution to this equation could not be determined.
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