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Simplifying (x + 3)(x + 3) = -13 Reorder the terms: (3 + x)(x + 3) = -13 Reorder the terms: (3 + x)(3 + x) = -13 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = -13 ((3 * 3 + x * 3) + x(3 + x)) = -13 ((9 + 3x) + x(3 + x)) = -13 (9 + 3x + (3 * x + x * x)) = -13 (9 + 3x + (3x + x2)) = -13 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = -13 Solving 9 + 6x + x2 = -13 Solving for variable 'x'. Reorder the terms: 9 + 13 + 6x + x2 = -13 + 13 Combine like terms: 9 + 13 = 22 22 + 6x + x2 = -13 + 13 Combine like terms: -13 + 13 = 0 22 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 6x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + 6x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 6x + x2 = 0 + -22 6x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 6x + x2 = -22 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -22 + 9 Reorder the terms: 9 + 6x + x2 = -22 + 9 Combine like terms: -22 + 9 = -13 9 + 6x + x2 = -13 Factor a perfect square on the left side: (x + 3)(x + 3) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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