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Simplifying (X + 6)(x + 6)(x + -7) = 0 Reorder the terms: (6 + X)(x + 6)(x + -7) = 0 Reorder the terms: (6 + X)(6 + x)(x + -7) = 0 Reorder the terms: (6 + X)(6 + x)(-7 + x) = 0 Multiply (6 + X) * (6 + x) (6(6 + x) + X(6 + x))(-7 + x) = 0 ((6 * 6 + x * 6) + X(6 + x))(-7 + x) = 0 ((36 + 6x) + X(6 + x))(-7 + x) = 0 (36 + 6x + (6 * X + x * X))(-7 + x) = 0 (36 + 6x + (6X + xX))(-7 + x) = 0 Reorder the terms: (36 + 6X + 6x + xX)(-7 + x) = 0 (36 + 6X + 6x + xX)(-7 + x) = 0 Multiply (36 + 6X + 6x + xX) * (-7 + x) (36(-7 + x) + 6X * (-7 + x) + 6x * (-7 + x) + xX(-7 + x)) = 0 ((-7 * 36 + x * 36) + 6X * (-7 + x) + 6x * (-7 + x) + xX(-7 + x)) = 0 ((-252 + 36x) + 6X * (-7 + x) + 6x * (-7 + x) + xX(-7 + x)) = 0 (-252 + 36x + (-7 * 6X + x * 6X) + 6x * (-7 + x) + xX(-7 + x)) = 0 (-252 + 36x + (-42X + 6xX) + 6x * (-7 + x) + xX(-7 + x)) = 0 (-252 + 36x + -42X + 6xX + (-7 * 6x + x * 6x) + xX(-7 + x)) = 0 (-252 + 36x + -42X + 6xX + (-42x + 6x2) + xX(-7 + x)) = 0 (-252 + 36x + -42X + 6xX + -42x + 6x2 + (-7 * xX + x * xX)) = 0 (-252 + 36x + -42X + 6xX + -42x + 6x2 + (-7xX + x2X)) = 0 Reorder the terms: (-252 + -42X + 36x + -42x + 6xX + -7xX + 6x2 + x2X) = 0 Combine like terms: 36x + -42x = -6x (-252 + -42X + -6x + 6xX + -7xX + 6x2 + x2X) = 0 Combine like terms: 6xX + -7xX = -1xX (-252 + -42X + -6x + -1xX + 6x2 + x2X) = 0 Solving -252 + -42X + -6x + -1xX + 6x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '252' to each side of the equation. -252 + -42X + -6x + -1xX + 6x2 + 252 + x2X = 0 + 252 Reorder the terms: -252 + 252 + -42X + -6x + -1xX + 6x2 + x2X = 0 + 252 Combine like terms: -252 + 252 = 0 0 + -42X + -6x + -1xX + 6x2 + x2X = 0 + 252 -42X + -6x + -1xX + 6x2 + x2X = 0 + 252 Combine like terms: 0 + 252 = 252 -42X + -6x + -1xX + 6x2 + x2X = 252 Add '6x' to each side of the equation. -42X + -6x + -1xX + 6x2 + 6x + x2X = 252 + 6x Reorder the terms: -42X + -6x + 6x + -1xX + 6x2 + x2X = 252 + 6x Combine like terms: -6x + 6x = 0 -42X + 0 + -1xX + 6x2 + x2X = 252 + 6x -42X + -1xX + 6x2 + x2X = 252 + 6x Add '-6x2' to each side of the equation. -42X + -1xX + 6x2 + -6x2 + x2X = 252 + 6x + -6x2 Combine like terms: 6x2 + -6x2 = 0 -42X + -1xX + 0 + x2X = 252 + 6x + -6x2 -42X + -1xX + x2X = 252 + 6x + -6x2 Reorder the terms: -252 + -42X + -6x + -1xX + 6x2 + x2X = 252 + 6x + -6x2 + -252 + -6x + 6x2 Reorder the terms: -252 + -42X + -6x + -1xX + 6x2 + x2X = 252 + -252 + 6x + -6x + -6x2 + 6x2 Combine like terms: 252 + -252 = 0 -252 + -42X + -6x + -1xX + 6x2 + x2X = 0 + 6x + -6x + -6x2 + 6x2 -252 + -42X + -6x + -1xX + 6x2 + x2X = 6x + -6x + -6x2 + 6x2 Combine like terms: 6x + -6x = 0 -252 + -42X + -6x + -1xX + 6x2 + x2X = 0 + -6x2 + 6x2 -252 + -42X + -6x + -1xX + 6x2 + x2X = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -252 + -42X + -6x + -1xX + 6x2 + x2X = 0 The solution to this equation could not be determined.
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