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Simplifying 0 = x2 + -96x + 4504 Reorder the terms: 0 = 4504 + -96x + x2 Solving 0 = 4504 + -96x + x2 Solving for variable 'x'. Combine like terms: 0 + -4504 = -4504 -4504 + 96x + -1x2 = 4504 + -96x + x2 + -4504 + 96x + -1x2 Reorder the terms: -4504 + 96x + -1x2 = 4504 + -4504 + -96x + 96x + x2 + -1x2 Combine like terms: 4504 + -4504 = 0 -4504 + 96x + -1x2 = 0 + -96x + 96x + x2 + -1x2 -4504 + 96x + -1x2 = -96x + 96x + x2 + -1x2 Combine like terms: -96x + 96x = 0 -4504 + 96x + -1x2 = 0 + x2 + -1x2 -4504 + 96x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4504 + 96x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4504 + -96x + x2 = 0 Move the constant term to the right: Add '-4504' to each side of the equation. 4504 + -96x + -4504 + x2 = 0 + -4504 Reorder the terms: 4504 + -4504 + -96x + x2 = 0 + -4504 Combine like terms: 4504 + -4504 = 0 0 + -96x + x2 = 0 + -4504 -96x + x2 = 0 + -4504 Combine like terms: 0 + -4504 = -4504 -96x + x2 = -4504 The x term is -96x. Take half its coefficient (-48). Square it (2304) and add it to both sides. Add '2304' to each side of the equation. -96x + 2304 + x2 = -4504 + 2304 Reorder the terms: 2304 + -96x + x2 = -4504 + 2304 Combine like terms: -4504 + 2304 = -2200 2304 + -96x + x2 = -2200 Factor a perfect square on the left side: (x + -48)(x + -48) = -2200 Can't calculate square root of the right side. The solution to this equation could not be determined.
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