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Simplifying -1x2 + 10x + -2400 = 0 Reorder the terms: -2400 + 10x + -1x2 = 0 Solving -2400 + 10x + -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'. 2400 + -10x + x2 = 0 Move the constant term to the right: Add '-2400' to each side of the equation. 2400 + -10x + -2400 + x2 = 0 + -2400 Reorder the terms: 2400 + -2400 + -10x + x2 = 0 + -2400 Combine like terms: 2400 + -2400 = 0 0 + -10x + x2 = 0 + -2400 -10x + x2 = 0 + -2400 Combine like terms: 0 + -2400 = -2400 -10x + x2 = -2400 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -2400 + 25 Reorder the terms: 25 + -10x + x2 = -2400 + 25 Combine like terms: -2400 + 25 = -2375 25 + -10x + x2 = -2375 Factor a perfect square on the left side: (x + -5)(x + -5) = -2375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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