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Simplifying ((x2) + -6x + 13)(x + -4)(x + -4) = 0 (x2 + -6x + 13)(x + -4)(x + -4) = 0 Reorder the terms: (13 + -6x + x2)(x + -4)(x + -4) = 0 Reorder the terms: (13 + -6x + x2)(-4 + x)(x + -4) = 0 Reorder the terms: (13 + -6x + x2)(-4 + x)(-4 + x) = 0 Multiply (13 + -6x + x2) * (-4 + x) (13(-4 + x) + -6x * (-4 + x) + x2(-4 + x))(-4 + x) = 0 ((-4 * 13 + x * 13) + -6x * (-4 + x) + x2(-4 + x))(-4 + x) = 0 ((-52 + 13x) + -6x * (-4 + x) + x2(-4 + x))(-4 + x) = 0 (-52 + 13x + (-4 * -6x + x * -6x) + x2(-4 + x))(-4 + x) = 0 (-52 + 13x + (24x + -6x2) + x2(-4 + x))(-4 + x) = 0 (-52 + 13x + 24x + -6x2 + (-4 * x2 + x * x2))(-4 + x) = 0 (-52 + 13x + 24x + -6x2 + (-4x2 + x3))(-4 + x) = 0 Combine like terms: 13x + 24x = 37x (-52 + 37x + -6x2 + -4x2 + x3)(-4 + x) = 0 Combine like terms: -6x2 + -4x2 = -10x2 (-52 + 37x + -10x2 + x3)(-4 + x) = 0 Multiply (-52 + 37x + -10x2 + x3) * (-4 + x) (-52(-4 + x) + 37x * (-4 + x) + -10x2 * (-4 + x) + x3(-4 + x)) = 0 ((-4 * -52 + x * -52) + 37x * (-4 + x) + -10x2 * (-4 + x) + x3(-4 + x)) = 0 ((208 + -52x) + 37x * (-4 + x) + -10x2 * (-4 + x) + x3(-4 + x)) = 0 (208 + -52x + (-4 * 37x + x * 37x) + -10x2 * (-4 + x) + x3(-4 + x)) = 0 (208 + -52x + (-148x + 37x2) + -10x2 * (-4 + x) + x3(-4 + x)) = 0 (208 + -52x + -148x + 37x2 + (-4 * -10x2 + x * -10x2) + x3(-4 + x)) = 0 (208 + -52x + -148x + 37x2 + (40x2 + -10x3) + x3(-4 + x)) = 0 (208 + -52x + -148x + 37x2 + 40x2 + -10x3 + (-4 * x3 + x * x3)) = 0 (208 + -52x + -148x + 37x2 + 40x2 + -10x3 + (-4x3 + x4)) = 0 Combine like terms: -52x + -148x = -200x (208 + -200x + 37x2 + 40x2 + -10x3 + -4x3 + x4) = 0 Combine like terms: 37x2 + 40x2 = 77x2 (208 + -200x + 77x2 + -10x3 + -4x3 + x4) = 0 Combine like terms: -10x3 + -4x3 = -14x3 (208 + -200x + 77x2 + -14x3 + x4) = 0 Solving 208 + -200x + 77x2 + -14x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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