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Simplifying (x + 4)(x + k) + -2k = 0 Reorder the terms: (4 + x)(x + k) + -2k = 0 Reorder the terms: (4 + x)(k + x) + -2k = 0 Multiply (4 + x) * (k + x) (4(k + x) + x(k + x)) + -2k = 0 ((k * 4 + x * 4) + x(k + x)) + -2k = 0 ((4k + 4x) + x(k + x)) + -2k = 0 (4k + 4x + (k * x + x * x)) + -2k = 0 (4k + 4x + (kx + x2)) + -2k = 0 Reorder the terms: (4k + kx + 4x + x2) + -2k = 0 (4k + kx + 4x + x2) + -2k = 0 Reorder the terms: 4k + -2k + kx + 4x + x2 = 0 Combine like terms: 4k + -2k = 2k 2k + kx + 4x + x2 = 0 Solving 2k + kx + 4x + x2 = 0 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. 2k + kx + 4x + -4x + x2 = 0 + -4x Combine like terms: 4x + -4x = 0 2k + kx + 0 + x2 = 0 + -4x 2k + kx + x2 = 0 + -4x Remove the zero: 2k + kx + x2 = -4x Add '-1x2' to each side of the equation. 2k + kx + x2 + -1x2 = -4x + -1x2 Combine like terms: x2 + -1x2 = 0 2k + kx + 0 = -4x + -1x2 2k + kx = -4x + -1x2 Reorder the terms: 2k + kx + 4x + x2 = -4x + 4x + -1x2 + x2 Combine like terms: -4x + 4x = 0 2k + kx + 4x + x2 = 0 + -1x2 + x2 2k + kx + 4x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2k + kx + 4x + x2 = 0 The solution to this equation could not be determined.
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