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Simplifying (x2 + x + -2)(x2 + x + -3) = 12 Reorder the terms: (-2 + x + x2)(x2 + x + -3) = 12 Reorder the terms: (-2 + x + x2)(-3 + x + x2) = 12 Multiply (-2 + x + x2) * (-3 + x + x2) (-2(-3 + x + x2) + x(-3 + x + x2) + x2(-3 + x + x2)) = 12 ((-3 * -2 + x * -2 + x2 * -2) + x(-3 + x + x2) + x2(-3 + x + x2)) = 12 ((6 + -2x + -2x2) + x(-3 + x + x2) + x2(-3 + x + x2)) = 12 (6 + -2x + -2x2 + (-3 * x + x * x + x2 * x) + x2(-3 + x + x2)) = 12 (6 + -2x + -2x2 + (-3x + x2 + x3) + x2(-3 + x + x2)) = 12 (6 + -2x + -2x2 + -3x + x2 + x3 + (-3 * x2 + x * x2 + x2 * x2)) = 12 (6 + -2x + -2x2 + -3x + x2 + x3 + (-3x2 + x3 + x4)) = 12 Reorder the terms: (6 + -2x + -3x + -2x2 + x2 + -3x2 + x3 + x3 + x4) = 12 Combine like terms: -2x + -3x = -5x (6 + -5x + -2x2 + x2 + -3x2 + x3 + x3 + x4) = 12 Combine like terms: -2x2 + x2 = -1x2 (6 + -5x + -1x2 + -3x2 + x3 + x3 + x4) = 12 Combine like terms: -1x2 + -3x2 = -4x2 (6 + -5x + -4x2 + x3 + x3 + x4) = 12 Combine like terms: x3 + x3 = 2x3 (6 + -5x + -4x2 + 2x3 + x4) = 12 Solving 6 + -5x + -4x2 + 2x3 + x4 = 12 Solving for variable 'x'. Reorder the terms: 6 + -12 + -5x + -4x2 + 2x3 + x4 = 12 + -12 Combine like terms: 6 + -12 = -6 -6 + -5x + -4x2 + 2x3 + x4 = 12 + -12 Combine like terms: 12 + -12 = 0 -6 + -5x + -4x2 + 2x3 + x4 = 0 The solution to this equation could not be determined.
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