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Simplifying (X + -7)(x + 6)(x + -10) = 0 Reorder the terms: (-7 + X)(x + 6)(x + -10) = 0 Reorder the terms: (-7 + X)(6 + x)(x + -10) = 0 Reorder the terms: (-7 + X)(6 + x)(-10 + x) = 0 Multiply (-7 + X) * (6 + x) (-7(6 + x) + X(6 + x))(-10 + x) = 0 ((6 * -7 + x * -7) + X(6 + x))(-10 + x) = 0 ((-42 + -7x) + X(6 + x))(-10 + x) = 0 (-42 + -7x + (6 * X + x * X))(-10 + x) = 0 (-42 + -7x + (6X + xX))(-10 + x) = 0 Reorder the terms: (-42 + 6X + -7x + xX)(-10 + x) = 0 (-42 + 6X + -7x + xX)(-10 + x) = 0 Multiply (-42 + 6X + -7x + xX) * (-10 + x) (-42(-10 + x) + 6X * (-10 + x) + -7x * (-10 + x) + xX(-10 + x)) = 0 ((-10 * -42 + x * -42) + 6X * (-10 + x) + -7x * (-10 + x) + xX(-10 + x)) = 0 ((420 + -42x) + 6X * (-10 + x) + -7x * (-10 + x) + xX(-10 + x)) = 0 (420 + -42x + (-10 * 6X + x * 6X) + -7x * (-10 + x) + xX(-10 + x)) = 0 (420 + -42x + (-60X + 6xX) + -7x * (-10 + x) + xX(-10 + x)) = 0 (420 + -42x + -60X + 6xX + (-10 * -7x + x * -7x) + xX(-10 + x)) = 0 (420 + -42x + -60X + 6xX + (70x + -7x2) + xX(-10 + x)) = 0 (420 + -42x + -60X + 6xX + 70x + -7x2 + (-10 * xX + x * xX)) = 0 (420 + -42x + -60X + 6xX + 70x + -7x2 + (-10xX + x2X)) = 0 Reorder the terms: (420 + -60X + -42x + 70x + 6xX + -10xX + -7x2 + x2X) = 0 Combine like terms: -42x + 70x = 28x (420 + -60X + 28x + 6xX + -10xX + -7x2 + x2X) = 0 Combine like terms: 6xX + -10xX = -4xX (420 + -60X + 28x + -4xX + -7x2 + x2X) = 0 Solving 420 + -60X + 28x + -4xX + -7x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-420' to each side of the equation. 420 + -60X + 28x + -4xX + -7x2 + -420 + x2X = 0 + -420 Reorder the terms: 420 + -420 + -60X + 28x + -4xX + -7x2 + x2X = 0 + -420 Combine like terms: 420 + -420 = 0 0 + -60X + 28x + -4xX + -7x2 + x2X = 0 + -420 -60X + 28x + -4xX + -7x2 + x2X = 0 + -420 Combine like terms: 0 + -420 = -420 -60X + 28x + -4xX + -7x2 + x2X = -420 Add '-28x' to each side of the equation. -60X + 28x + -4xX + -7x2 + -28x + x2X = -420 + -28x Reorder the terms: -60X + 28x + -28x + -4xX + -7x2 + x2X = -420 + -28x Combine like terms: 28x + -28x = 0 -60X + 0 + -4xX + -7x2 + x2X = -420 + -28x -60X + -4xX + -7x2 + x2X = -420 + -28x Add '7x2' to each side of the equation. -60X + -4xX + -7x2 + 7x2 + x2X = -420 + -28x + 7x2 Combine like terms: -7x2 + 7x2 = 0 -60X + -4xX + 0 + x2X = -420 + -28x + 7x2 -60X + -4xX + x2X = -420 + -28x + 7x2 Reorder the terms: 420 + -60X + 28x + -4xX + -7x2 + x2X = -420 + -28x + 7x2 + 420 + 28x + -7x2 Reorder the terms: 420 + -60X + 28x + -4xX + -7x2 + x2X = -420 + 420 + -28x + 28x + 7x2 + -7x2 Combine like terms: -420 + 420 = 0 420 + -60X + 28x + -4xX + -7x2 + x2X = 0 + -28x + 28x + 7x2 + -7x2 420 + -60X + 28x + -4xX + -7x2 + x2X = -28x + 28x + 7x2 + -7x2 Combine like terms: -28x + 28x = 0 420 + -60X + 28x + -4xX + -7x2 + x2X = 0 + 7x2 + -7x2 420 + -60X + 28x + -4xX + -7x2 + x2X = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 420 + -60X + 28x + -4xX + -7x2 + x2X = 0 The solution to this equation could not be determined.
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