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Simplifying x(8 + -1x) = 84 (8 * x + -1x * x) = 84 (8x + -1x2) = 84 Solving 8x + -1x2 = 84 Solving for variable 'x'. Reorder the terms: -84 + 8x + -1x2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 8x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 84 + -8x + x2 = 0 Move the constant term to the right: Add '-84' to each side of the equation. 84 + -8x + -84 + x2 = 0 + -84 Reorder the terms: 84 + -84 + -8x + x2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -8x + x2 = 0 + -84 -8x + x2 = 0 + -84 Combine like terms: 0 + -84 = -84 -8x + x2 = -84 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 = -84 + 16 Reorder the terms: 16 + -8x + x2 = -84 + 16 Combine like terms: -84 + 16 = -68 16 + -8x + x2 = -68 Factor a perfect square on the left side: (x + -4)(x + -4) = -68 Can't calculate square root of the right side. The solution to this equation could not be determined.
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