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Simplifying (x + -2)(x + -2) + 16 = 0 Reorder the terms: (-2 + x)(x + -2) + 16 = 0 Reorder the terms: (-2 + x)(-2 + x) + 16 = 0 Multiply (-2 + x) * (-2 + x) (-2(-2 + x) + x(-2 + x)) + 16 = 0 ((-2 * -2 + x * -2) + x(-2 + x)) + 16 = 0 ((4 + -2x) + x(-2 + x)) + 16 = 0 (4 + -2x + (-2 * x + x * x)) + 16 = 0 (4 + -2x + (-2x + x2)) + 16 = 0 Combine like terms: -2x + -2x = -4x (4 + -4x + x2) + 16 = 0 Reorder the terms: 4 + 16 + -4x + x2 = 0 Combine like terms: 4 + 16 = 20 20 + -4x + x2 = 0 Solving 20 + -4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -4x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -4x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4x + x2 = 0 + -20 -4x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -4x + x2 = -20 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -20 + 4 Reorder the terms: 4 + -4x + x2 = -20 + 4 Combine like terms: -20 + 4 = -16 4 + -4x + x2 = -16 Factor a perfect square on the left side: (x + -2)(x + -2) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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