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Simplifying (x2 + -4)(x2 + -4) = -5 Reorder the terms: (-4 + x2)(x2 + -4) = -5 Reorder the terms: (-4 + x2)(-4 + x2) = -5 Multiply (-4 + x2) * (-4 + x2) (-4(-4 + x2) + x2(-4 + x2)) = -5 ((-4 * -4 + x2 * -4) + x2(-4 + x2)) = -5 ((16 + -4x2) + x2(-4 + x2)) = -5 (16 + -4x2 + (-4 * x2 + x2 * x2)) = -5 (16 + -4x2 + (-4x2 + x4)) = -5 Combine like terms: -4x2 + -4x2 = -8x2 (16 + -8x2 + x4) = -5 Solving 16 + -8x2 + x4 = -5 Solving for variable 'x'. Reorder the terms: 16 + 5 + -8x2 + x4 = -5 + 5 Combine like terms: 16 + 5 = 21 21 + -8x2 + x4 = -5 + 5 Combine like terms: -5 + 5 = 0 21 + -8x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -8x2 + -21 + x4 = 0 + -21 Reorder the terms: 21 + -21 + -8x2 + x4 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -8x2 + x4 = 0 + -21 -8x2 + x4 = 0 + -21 Combine like terms: 0 + -21 = -21 -8x2 + x4 = -21 The x term is -8x2. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x2 + 16 + x4 = -21 + 16 Reorder the terms: 16 + -8x2 + x4 = -21 + 16 Combine like terms: -21 + 16 = -5 16 + -8x2 + x4 = -5 Factor a perfect square on the left side: (x2 + -4)(x2 + -4) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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