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Simplifying K2 + -20 = (k + 3)(k + -4) Reorder the terms: -20 + K2 = (k + 3)(k + -4) Reorder the terms: -20 + K2 = (3 + k)(k + -4) Reorder the terms: -20 + K2 = (3 + k)(-4 + k) Multiply (3 + k) * (-4 + k) -20 + K2 = (3(-4 + k) + k(-4 + k)) -20 + K2 = ((-4 * 3 + k * 3) + k(-4 + k)) -20 + K2 = ((-12 + 3k) + k(-4 + k)) -20 + K2 = (-12 + 3k + (-4 * k + k * k)) -20 + K2 = (-12 + 3k + (-4k + k2)) Combine like terms: 3k + -4k = -1k -20 + K2 = (-12 + -1k + k2) Solving -20 + K2 = -12 + -1k + k2 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + K2 = -12 + -1k + 20 + k2 Combine like terms: -20 + 20 = 0 0 + K2 = -12 + -1k + 20 + k2 K2 = -12 + -1k + 20 + k2 Reorder the terms: K2 = -12 + 20 + -1k + k2 Combine like terms: -12 + 20 = 8 K2 = 8 + -1k + k2 Simplifying K2 = 8 + -1k + k2 Reorder the terms: -8 + K2 + k + -1k2 = 8 + -1k + k2 + -8 + k + -1k2 Reorder the terms: -8 + K2 + k + -1k2 = 8 + -8 + -1k + k + k2 + -1k2 Combine like terms: 8 + -8 = 0 -8 + K2 + k + -1k2 = 0 + -1k + k + k2 + -1k2 -8 + K2 + k + -1k2 = -1k + k + k2 + -1k2 Combine like terms: -1k + k = 0 -8 + K2 + k + -1k2 = 0 + k2 + -1k2 -8 + K2 + k + -1k2 = k2 + -1k2 Combine like terms: k2 + -1k2 = 0 -8 + K2 + k + -1k2 = 0 The solution to this equation could not be determined.
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