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Simplifying (x + 1)(x + -4) + -1(3X + 5)(X + -4) = 0 Reorder the terms: (1 + x)(x + -4) + -1(3X + 5)(X + -4) = 0 Reorder the terms: (1 + x)(-4 + x) + -1(3X + 5)(X + -4) = 0 Multiply (1 + x) * (-4 + x) (1(-4 + x) + x(-4 + x)) + -1(3X + 5)(X + -4) = 0 ((-4 * 1 + x * 1) + x(-4 + x)) + -1(3X + 5)(X + -4) = 0 ((-4 + 1x) + x(-4 + x)) + -1(3X + 5)(X + -4) = 0 (-4 + 1x + (-4 * x + x * x)) + -1(3X + 5)(X + -4) = 0 (-4 + 1x + (-4x + x2)) + -1(3X + 5)(X + -4) = 0 Combine like terms: 1x + -4x = -3x (-4 + -3x + x2) + -1(3X + 5)(X + -4) = 0 Reorder the terms: -4 + -3x + x2 + -1(5 + 3X)(X + -4) = 0 Reorder the terms: -4 + -3x + x2 + -1(5 + 3X)(-4 + X) = 0 Multiply (5 + 3X) * (-4 + X) -4 + -3x + x2 + -1(5(-4 + X) + 3X * (-4 + X)) = 0 -4 + -3x + x2 + -1((-4 * 5 + X * 5) + 3X * (-4 + X)) = 0 -4 + -3x + x2 + -1((-20 + 5X) + 3X * (-4 + X)) = 0 -4 + -3x + x2 + -1(-20 + 5X + (-4 * 3X + X * 3X)) = 0 -4 + -3x + x2 + -1(-20 + 5X + (-12X + 3X2)) = 0 Combine like terms: 5X + -12X = -7X -4 + -3x + x2 + -1(-20 + -7X + 3X2) = 0 -4 + -3x + x2 + (-20 * -1 + -7X * -1 + 3X2 * -1) = 0 -4 + -3x + x2 + (20 + 7X + -3X2) = 0 Reorder the terms: -4 + 20 + 7X + -3X2 + -3x + x2 = 0 Combine like terms: -4 + 20 = 16 16 + 7X + -3X2 + -3x + x2 = 0 Solving 16 + 7X + -3X2 + -3x + x2 = 0 Solving for variable 'X'. The solution to this equation could not be determined.
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