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Simplifying (X + -11)(x2 + 3x + -6) = 0 Reorder the terms: (-11 + X)(x2 + 3x + -6) = 0 Reorder the terms: (-11 + X)(-6 + 3x + x2) = 0 Multiply (-11 + X) * (-6 + 3x + x2) (-11(-6 + 3x + x2) + X(-6 + 3x + x2)) = 0 ((-6 * -11 + 3x * -11 + x2 * -11) + X(-6 + 3x + x2)) = 0 ((66 + -33x + -11x2) + X(-6 + 3x + x2)) = 0 (66 + -33x + -11x2 + (-6 * X + 3x * X + x2 * X)) = 0 (66 + -33x + -11x2 + (-6X + 3xX + x2X)) = 0 Reorder the terms: (66 + -6X + -33x + 3xX + -11x2 + x2X) = 0 (66 + -6X + -33x + 3xX + -11x2 + x2X) = 0 Solving 66 + -6X + -33x + 3xX + -11x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -6X + -33x + 3xX + -11x2 + -66 + x2X = 0 + -66 Reorder the terms: 66 + -66 + -6X + -33x + 3xX + -11x2 + x2X = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -6X + -33x + 3xX + -11x2 + x2X = 0 + -66 -6X + -33x + 3xX + -11x2 + x2X = 0 + -66 Combine like terms: 0 + -66 = -66 -6X + -33x + 3xX + -11x2 + x2X = -66 Add '33x' to each side of the equation. -6X + -33x + 3xX + -11x2 + 33x + x2X = -66 + 33x Reorder the terms: -6X + -33x + 33x + 3xX + -11x2 + x2X = -66 + 33x Combine like terms: -33x + 33x = 0 -6X + 0 + 3xX + -11x2 + x2X = -66 + 33x -6X + 3xX + -11x2 + x2X = -66 + 33x Add '11x2' to each side of the equation. -6X + 3xX + -11x2 + 11x2 + x2X = -66 + 33x + 11x2 Combine like terms: -11x2 + 11x2 = 0 -6X + 3xX + 0 + x2X = -66 + 33x + 11x2 -6X + 3xX + x2X = -66 + 33x + 11x2 Reorder the terms: 66 + -6X + -33x + 3xX + -11x2 + x2X = -66 + 33x + 11x2 + 66 + -33x + -11x2 Reorder the terms: 66 + -6X + -33x + 3xX + -11x2 + x2X = -66 + 66 + 33x + -33x + 11x2 + -11x2 Combine like terms: -66 + 66 = 0 66 + -6X + -33x + 3xX + -11x2 + x2X = 0 + 33x + -33x + 11x2 + -11x2 66 + -6X + -33x + 3xX + -11x2 + x2X = 33x + -33x + 11x2 + -11x2 Combine like terms: 33x + -33x = 0 66 + -6X + -33x + 3xX + -11x2 + x2X = 0 + 11x2 + -11x2 66 + -6X + -33x + 3xX + -11x2 + x2X = 11x2 + -11x2 Combine like terms: 11x2 + -11x2 = 0 66 + -6X + -33x + 3xX + -11x2 + x2X = 0 The solution to this equation could not be determined.
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