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Simplifying (x + -2)(x + -3)(x + 4)(x + 6) + -10x2 = 0 Reorder the terms: (-2 + x)(x + -3)(x + 4)(x + 6) + -10x2 = 0 Reorder the terms: (-2 + x)(-3 + x)(x + 4)(x + 6) + -10x2 = 0 Reorder the terms: (-2 + x)(-3 + x)(4 + x)(x + 6) + -10x2 = 0 Reorder the terms: (-2 + x)(-3 + x)(4 + x)(6 + x) + -10x2 = 0 Multiply (-2 + x) * (-3 + x) (-2(-3 + x) + x(-3 + x))(4 + x)(6 + x) + -10x2 = 0 ((-3 * -2 + x * -2) + x(-3 + x))(4 + x)(6 + x) + -10x2 = 0 ((6 + -2x) + x(-3 + x))(4 + x)(6 + x) + -10x2 = 0 (6 + -2x + (-3 * x + x * x))(4 + x)(6 + x) + -10x2 = 0 (6 + -2x + (-3x + x2))(4 + x)(6 + x) + -10x2 = 0 Combine like terms: -2x + -3x = -5x (6 + -5x + x2)(4 + x)(6 + x) + -10x2 = 0 Multiply (6 + -5x + x2) * (4 + x) (6(4 + x) + -5x * (4 + x) + x2(4 + x))(6 + x) + -10x2 = 0 ((4 * 6 + x * 6) + -5x * (4 + x) + x2(4 + x))(6 + x) + -10x2 = 0 ((24 + 6x) + -5x * (4 + x) + x2(4 + x))(6 + x) + -10x2 = 0 (24 + 6x + (4 * -5x + x * -5x) + x2(4 + x))(6 + x) + -10x2 = 0 (24 + 6x + (-20x + -5x2) + x2(4 + x))(6 + x) + -10x2 = 0 (24 + 6x + -20x + -5x2 + (4 * x2 + x * x2))(6 + x) + -10x2 = 0 (24 + 6x + -20x + -5x2 + (4x2 + x3))(6 + x) + -10x2 = 0 Combine like terms: 6x + -20x = -14x (24 + -14x + -5x2 + 4x2 + x3)(6 + x) + -10x2 = 0 Combine like terms: -5x2 + 4x2 = -1x2 (24 + -14x + -1x2 + x3)(6 + x) + -10x2 = 0 Multiply (24 + -14x + -1x2 + x3) * (6 + x) (24(6 + x) + -14x * (6 + x) + -1x2 * (6 + x) + x3(6 + x)) + -10x2 = 0 ((6 * 24 + x * 24) + -14x * (6 + x) + -1x2 * (6 + x) + x3(6 + x)) + -10x2 = 0 ((144 + 24x) + -14x * (6 + x) + -1x2 * (6 + x) + x3(6 + x)) + -10x2 = 0 (144 + 24x + (6 * -14x + x * -14x) + -1x2 * (6 + x) + x3(6 + x)) + -10x2 = 0 (144 + 24x + (-84x + -14x2) + -1x2 * (6 + x) + x3(6 + x)) + -10x2 = 0 (144 + 24x + -84x + -14x2 + (6 * -1x2 + x * -1x2) + x3(6 + x)) + -10x2 = 0 (144 + 24x + -84x + -14x2 + (-6x2 + -1x3) + x3(6 + x)) + -10x2 = 0 (144 + 24x + -84x + -14x2 + -6x2 + -1x3 + (6 * x3 + x * x3)) + -10x2 = 0 (144 + 24x + -84x + -14x2 + -6x2 + -1x3 + (6x3 + x4)) + -10x2 = 0 Combine like terms: 24x + -84x = -60x (144 + -60x + -14x2 + -6x2 + -1x3 + 6x3 + x4) + -10x2 = 0 Combine like terms: -14x2 + -6x2 = -20x2 (144 + -60x + -20x2 + -1x3 + 6x3 + x4) + -10x2 = 0 Combine like terms: -1x3 + 6x3 = 5x3 (144 + -60x + -20x2 + 5x3 + x4) + -10x2 = 0 Reorder the terms: 144 + -60x + -20x2 + -10x2 + 5x3 + x4 = 0 Combine like terms: -20x2 + -10x2 = -30x2 144 + -60x + -30x2 + 5x3 + x4 = 0 Solving 144 + -60x + -30x2 + 5x3 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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