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Simplifying X2 + 16X + 64 = -81 Reorder the terms: 64 + 16X + X2 = -81 Solving 64 + 16X + X2 = -81 Solving for variable 'X'. Reorder the terms: 64 + 81 + 16X + X2 = -81 + 81 Combine like terms: 64 + 81 = 145 145 + 16X + X2 = -81 + 81 Combine like terms: -81 + 81 = 0 145 + 16X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-145' to each side of the equation. 145 + 16X + -145 + X2 = 0 + -145 Reorder the terms: 145 + -145 + 16X + X2 = 0 + -145 Combine like terms: 145 + -145 = 0 0 + 16X + X2 = 0 + -145 16X + X2 = 0 + -145 Combine like terms: 0 + -145 = -145 16X + X2 = -145 The X term is 16X. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16X + 64 + X2 = -145 + 64 Reorder the terms: 64 + 16X + X2 = -145 + 64 Combine like terms: -145 + 64 = -81 64 + 16X + X2 = -81 Factor a perfect square on the left side: (X + 8)(X + 8) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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