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Simplifying 81 + 8x + (x2) = 8 + 2x 81 + 8x + x2 = 8 + 2x Solving 81 + 8x + x2 = 8 + 2x Solving for variable 'x'. Reorder the terms: 81 + -8 + 8x + -2x + x2 = 8 + 2x + -8 + -2x Combine like terms: 81 + -8 = 73 73 + 8x + -2x + x2 = 8 + 2x + -8 + -2x Combine like terms: 8x + -2x = 6x 73 + 6x + x2 = 8 + 2x + -8 + -2x Reorder the terms: 73 + 6x + x2 = 8 + -8 + 2x + -2x Combine like terms: 8 + -8 = 0 73 + 6x + x2 = 0 + 2x + -2x 73 + 6x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 73 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-73' to each side of the equation. 73 + 6x + -73 + x2 = 0 + -73 Reorder the terms: 73 + -73 + 6x + x2 = 0 + -73 Combine like terms: 73 + -73 = 0 0 + 6x + x2 = 0 + -73 6x + x2 = 0 + -73 Combine like terms: 0 + -73 = -73 6x + x2 = -73 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 = -73 + 9 Reorder the terms: 9 + 6x + x2 = -73 + 9 Combine like terms: -73 + 9 = -64 9 + 6x + x2 = -64 Factor a perfect square on the left side: (x + 3)(x + 3) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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