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Simplifying X(x + 6) + x(x + 4) + x(x + 2) = 0 Reorder the terms: X(6 + x) + x(x + 4) + x(x + 2) = 0 (6 * X + x * X) + x(x + 4) + x(x + 2) = 0 (6X + xX) + x(x + 4) + x(x + 2) = 0 Reorder the terms: 6X + xX + x(4 + x) + x(x + 2) = 0 6X + xX + (4 * x + x * x) + x(x + 2) = 0 6X + xX + (4x + x2) + x(x + 2) = 0 Reorder the terms: 6X + xX + 4x + x2 + x(2 + x) = 0 6X + xX + 4x + x2 + (2 * x + x * x) = 0 6X + xX + 4x + x2 + (2x + x2) = 0 Reorder the terms: 6X + 4x + 2x + xX + x2 + x2 = 0 Combine like terms: 4x + 2x = 6x 6X + 6x + xX + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 6X + 6x + xX + 2x2 = 0 Solving 6X + 6x + xX + 2x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6x' to each side of the equation. 6X + 6x + xX + -6x + 2x2 = 0 + -6x Reorder the terms: 6X + 6x + -6x + xX + 2x2 = 0 + -6x Combine like terms: 6x + -6x = 0 6X + 0 + xX + 2x2 = 0 + -6x 6X + xX + 2x2 = 0 + -6x Remove the zero: 6X + xX + 2x2 = -6x Add '-2x2' to each side of the equation. 6X + xX + 2x2 + -2x2 = -6x + -2x2 Combine like terms: 2x2 + -2x2 = 0 6X + xX + 0 = -6x + -2x2 6X + xX = -6x + -2x2 Reorder the terms: 6X + 6x + xX + 2x2 = -6x + -2x2 + 6x + 2x2 Reorder the terms: 6X + 6x + xX + 2x2 = -6x + 6x + -2x2 + 2x2 Combine like terms: -6x + 6x = 0 6X + 6x + xX + 2x2 = 0 + -2x2 + 2x2 6X + 6x + xX + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 6X + 6x + xX + 2x2 = 0 The solution to this equation could not be determined.
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