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Simplifying (x + 3)(x + 3) = -81 Reorder the terms: (3 + x)(x + 3) = -81 Reorder the terms: (3 + x)(3 + x) = -81 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = -81 ((3 * 3 + x * 3) + x(3 + x)) = -81 ((9 + 3x) + x(3 + x)) = -81 (9 + 3x + (3 * x + x * x)) = -81 (9 + 3x + (3x + x2)) = -81 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = -81 Solving 9 + 6x + x2 = -81 Solving for variable 'x'. Reorder the terms: 9 + 81 + 6x + x2 = -81 + 81 Combine like terms: 9 + 81 = 90 90 + 6x + x2 = -81 + 81 Combine like terms: -81 + 81 = 0 90 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-90' to each side of the equation. 90 + 6x + -90 + x2 = 0 + -90 Reorder the terms: 90 + -90 + 6x + x2 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 6x + x2 = 0 + -90 6x + x2 = 0 + -90 Combine like terms: 0 + -90 = -90 6x + x2 = -90 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 = -90 + 9 Reorder the terms: 9 + 6x + x2 = -90 + 9 Combine like terms: -90 + 9 = -81 9 + 6x + x2 = -81 Factor a perfect square on the left side: (x + 3)(x + 3) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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