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Simplifying (x + 9)(x + 9) = -4 Reorder the terms: (9 + x)(x + 9) = -4 Reorder the terms: (9 + x)(9 + x) = -4 Multiply (9 + x) * (9 + x) (9(9 + x) + x(9 + x)) = -4 ((9 * 9 + x * 9) + x(9 + x)) = -4 ((81 + 9x) + x(9 + x)) = -4 (81 + 9x + (9 * x + x * x)) = -4 (81 + 9x + (9x + x2)) = -4 Combine like terms: 9x + 9x = 18x (81 + 18x + x2) = -4 Solving 81 + 18x + x2 = -4 Solving for variable 'x'. Reorder the terms: 81 + 4 + 18x + x2 = -4 + 4 Combine like terms: 81 + 4 = 85 85 + 18x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 85 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-85' to each side of the equation. 85 + 18x + -85 + x2 = 0 + -85 Reorder the terms: 85 + -85 + 18x + x2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + 18x + x2 = 0 + -85 18x + x2 = 0 + -85 Combine like terms: 0 + -85 = -85 18x + x2 = -85 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -85 + 81 Reorder the terms: 81 + 18x + x2 = -85 + 81 Combine like terms: -85 + 81 = -4 81 + 18x + x2 = -4 Factor a perfect square on the left side: (x + 9)(x + 9) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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