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Simplifying (x + 4)(x + k) = x2 + x + -12 Reorder the terms: (4 + x)(x + k) = x2 + x + -12 Reorder the terms: (4 + x)(k + x) = x2 + x + -12 Multiply (4 + x) * (k + x) (4(k + x) + x(k + x)) = x2 + x + -12 ((k * 4 + x * 4) + x(k + x)) = x2 + x + -12 ((4k + 4x) + x(k + x)) = x2 + x + -12 (4k + 4x + (k * x + x * x)) = x2 + x + -12 (4k + 4x + (kx + x2)) = x2 + x + -12 Reorder the terms: (4k + kx + 4x + x2) = x2 + x + -12 (4k + kx + 4x + x2) = x2 + x + -12 Reorder the terms: 4k + kx + 4x + x2 = -12 + x + x2 Add '-1x2' to each side of the equation. 4k + kx + 4x + x2 + -1x2 = -12 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4k + kx + 4x + 0 = -12 + x + x2 + -1x2 4k + kx + 4x = -12 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4k + kx + 4x = -12 + x + 0 4k + kx + 4x = -12 + x Solving 4k + kx + 4x = -12 + x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4x' to each side of the equation. 4k + kx + 4x + -4x = -12 + x + -4x Combine like terms: 4x + -4x = 0 4k + kx + 0 = -12 + x + -4x 4k + kx = -12 + x + -4x Combine like terms: x + -4x = -3x 4k + kx = -12 + -3x Reorder the terms: 12 + 4k + kx + 3x = -12 + -3x + 12 + 3x Reorder the terms: 12 + 4k + kx + 3x = -12 + 12 + -3x + 3x Combine like terms: -12 + 12 = 0 12 + 4k + kx + 3x = 0 + -3x + 3x 12 + 4k + kx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 12 + 4k + kx + 3x = 0 The solution to this equation could not be determined.
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