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Simplifying (x2 + -3)(x2 + -3) + 4 = -4(x2 + -3) + -4 Reorder the terms: (-3 + x2)(x2 + -3) + 4 = -4(x2 + -3) + -4 Reorder the terms: (-3 + x2)(-3 + x2) + 4 = -4(x2 + -3) + -4 Multiply (-3 + x2) * (-3 + x2) (-3(-3 + x2) + x2(-3 + x2)) + 4 = -4(x2 + -3) + -4 ((-3 * -3 + x2 * -3) + x2(-3 + x2)) + 4 = -4(x2 + -3) + -4 ((9 + -3x2) + x2(-3 + x2)) + 4 = -4(x2 + -3) + -4 (9 + -3x2 + (-3 * x2 + x2 * x2)) + 4 = -4(x2 + -3) + -4 (9 + -3x2 + (-3x2 + x4)) + 4 = -4(x2 + -3) + -4 Combine like terms: -3x2 + -3x2 = -6x2 (9 + -6x2 + x4) + 4 = -4(x2 + -3) + -4 Reorder the terms: 9 + 4 + -6x2 + x4 = -4(x2 + -3) + -4 Combine like terms: 9 + 4 = 13 13 + -6x2 + x4 = -4(x2 + -3) + -4 Reorder the terms: 13 + -6x2 + x4 = -4(-3 + x2) + -4 13 + -6x2 + x4 = (-3 * -4 + x2 * -4) + -4 13 + -6x2 + x4 = (12 + -4x2) + -4 Reorder the terms: 13 + -6x2 + x4 = 12 + -4 + -4x2 Combine like terms: 12 + -4 = 8 13 + -6x2 + x4 = 8 + -4x2 Solving 13 + -6x2 + x4 = 8 + -4x2 Solving for variable 'x'. Reorder the terms: 13 + -8 + -6x2 + 4x2 + x4 = 8 + -4x2 + -8 + 4x2 Combine like terms: 13 + -8 = 5 5 + -6x2 + 4x2 + x4 = 8 + -4x2 + -8 + 4x2 Combine like terms: -6x2 + 4x2 = -2x2 5 + -2x2 + x4 = 8 + -4x2 + -8 + 4x2 Reorder the terms: 5 + -2x2 + x4 = 8 + -8 + -4x2 + 4x2 Combine like terms: 8 + -8 = 0 5 + -2x2 + x4 = 0 + -4x2 + 4x2 5 + -2x2 + x4 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 5 + -2x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2x2 + -5 + x4 = 0 + -5 Reorder the terms: 5 + -5 + -2x2 + x4 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x2 + x4 = 0 + -5 -2x2 + x4 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x2 + x4 = -5 The x term is -2x2. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x2 + 1 + x4 = -5 + 1 Reorder the terms: 1 + -2x2 + x4 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + -2x2 + x4 = -4 Factor a perfect square on the left side: (x2 + -1)(x2 + -1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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