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Simplifying x2 + 18x + 81 = -49 Reorder the terms: 81 + 18x + x2 = -49 Solving 81 + 18x + x2 = -49 Solving for variable 'x'. Reorder the terms: 81 + 49 + 18x + x2 = -49 + 49 Combine like terms: 81 + 49 = 130 130 + 18x + x2 = -49 + 49 Combine like terms: -49 + 49 = 0 130 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-130' to each side of the equation. 130 + 18x + -130 + x2 = 0 + -130 Reorder the terms: 130 + -130 + 18x + x2 = 0 + -130 Combine like terms: 130 + -130 = 0 0 + 18x + x2 = 0 + -130 18x + x2 = 0 + -130 Combine like terms: 0 + -130 = -130 18x + x2 = -130 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 = -130 + 81 Reorder the terms: 81 + 18x + x2 = -130 + 81 Combine like terms: -130 + 81 = -49 81 + 18x + x2 = -49 Factor a perfect square on the left side: (x + 9)(x + 9) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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