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Simplifying 0 = x2 + -8x + 64 Reorder the terms: 0 = 64 + -8x + x2 Solving 0 = 64 + -8x + x2 Solving for variable 'x'. Combine like terms: 0 + -64 = -64 -64 + 8x + -1x2 = 64 + -8x + x2 + -64 + 8x + -1x2 Reorder the terms: -64 + 8x + -1x2 = 64 + -64 + -8x + 8x + x2 + -1x2 Combine like terms: 64 + -64 = 0 -64 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2 -64 + 8x + -1x2 = -8x + 8x + x2 + -1x2 Combine like terms: -8x + 8x = 0 -64 + 8x + -1x2 = 0 + x2 + -1x2 -64 + 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -64 + 8x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 64 + -8x + x2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + -8x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + -8x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -8x + x2 = 0 + -64 -8x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -8x + x2 = -64 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -64 + 16 Reorder the terms: 16 + -8x + x2 = -64 + 16 Combine like terms: -64 + 16 = -48 16 + -8x + x2 = -48 Factor a perfect square on the left side: (x + -4)(x + -4) = -48 Can't calculate square root of the right side. The solution to this equation could not be determined.
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