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Simplifying -1(x2 + -8x + 48) = 0 Reorder the terms: -1(48 + -8x + x2) = 0 (48 * -1 + -8x * -1 + x2 * -1) = 0 (-48 + 8x + -1x2) = 0 Solving -48 + 8x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 48 + -8x + x2 = 0 Move the constant term to the right: Add '-48' to each side of the equation. 48 + -8x + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + -8x + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -8x + x2 = 0 + -48 -8x + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 -8x + x2 = -48 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 = -48 + 16 Reorder the terms: 16 + -8x + x2 = -48 + 16 Combine like terms: -48 + 16 = -32 16 + -8x + x2 = -32 Factor a perfect square on the left side: (x + -4)(x + -4) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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