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Simplifying (X + 2)(x2 + 3x + -40) = 0 Reorder the terms: (2 + X)(x2 + 3x + -40) = 0 Reorder the terms: (2 + X)(-40 + 3x + x2) = 0 Multiply (2 + X) * (-40 + 3x + x2) (2(-40 + 3x + x2) + X(-40 + 3x + x2)) = 0 ((-40 * 2 + 3x * 2 + x2 * 2) + X(-40 + 3x + x2)) = 0 ((-80 + 6x + 2x2) + X(-40 + 3x + x2)) = 0 (-80 + 6x + 2x2 + (-40 * X + 3x * X + x2 * X)) = 0 (-80 + 6x + 2x2 + (-40X + 3xX + x2X)) = 0 Reorder the terms: (-80 + -40X + 6x + 3xX + 2x2 + x2X) = 0 (-80 + -40X + 6x + 3xX + 2x2 + x2X) = 0 Solving -80 + -40X + 6x + 3xX + 2x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '80' to each side of the equation. -80 + -40X + 6x + 3xX + 2x2 + 80 + x2X = 0 + 80 Reorder the terms: -80 + 80 + -40X + 6x + 3xX + 2x2 + x2X = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -40X + 6x + 3xX + 2x2 + x2X = 0 + 80 -40X + 6x + 3xX + 2x2 + x2X = 0 + 80 Combine like terms: 0 + 80 = 80 -40X + 6x + 3xX + 2x2 + x2X = 80 Add '-6x' to each side of the equation. -40X + 6x + 3xX + 2x2 + -6x + x2X = 80 + -6x Reorder the terms: -40X + 6x + -6x + 3xX + 2x2 + x2X = 80 + -6x Combine like terms: 6x + -6x = 0 -40X + 0 + 3xX + 2x2 + x2X = 80 + -6x -40X + 3xX + 2x2 + x2X = 80 + -6x Add '-2x2' to each side of the equation. -40X + 3xX + 2x2 + -2x2 + x2X = 80 + -6x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -40X + 3xX + 0 + x2X = 80 + -6x + -2x2 -40X + 3xX + x2X = 80 + -6x + -2x2 Reorder the terms: -80 + -40X + 6x + 3xX + 2x2 + x2X = 80 + -6x + -2x2 + -80 + 6x + 2x2 Reorder the terms: -80 + -40X + 6x + 3xX + 2x2 + x2X = 80 + -80 + -6x + 6x + -2x2 + 2x2 Combine like terms: 80 + -80 = 0 -80 + -40X + 6x + 3xX + 2x2 + x2X = 0 + -6x + 6x + -2x2 + 2x2 -80 + -40X + 6x + 3xX + 2x2 + x2X = -6x + 6x + -2x2 + 2x2 Combine like terms: -6x + 6x = 0 -80 + -40X + 6x + 3xX + 2x2 + x2X = 0 + -2x2 + 2x2 -80 + -40X + 6x + 3xX + 2x2 + x2X = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -80 + -40X + 6x + 3xX + 2x2 + x2X = 0 The solution to this equation could not be determined.
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