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Simplifying (x + 2)(x + 2) = -15 Reorder the terms: (2 + x)(x + 2) = -15 Reorder the terms: (2 + x)(2 + x) = -15 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) = -15 ((2 * 2 + x * 2) + x(2 + x)) = -15 ((4 + 2x) + x(2 + x)) = -15 (4 + 2x + (2 * x + x * x)) = -15 (4 + 2x + (2x + x2)) = -15 Combine like terms: 2x + 2x = 4x (4 + 4x + x2) = -15 Solving 4 + 4x + x2 = -15 Solving for variable 'x'. Reorder the terms: 4 + 15 + 4x + x2 = -15 + 15 Combine like terms: 4 + 15 = 19 19 + 4x + x2 = -15 + 15 Combine like terms: -15 + 15 = 0 19 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 4x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 4x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4x + x2 = 0 + -19 4x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 4x + x2 = -19 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 = -19 + 4 Reorder the terms: 4 + 4x + x2 = -19 + 4 Combine like terms: -19 + 4 = -15 4 + 4x + x2 = -15 Factor a perfect square on the left side: (x + 2)(x + 2) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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