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Simplifying 2x2 + -25x + 84 = 0 Reorder the terms: 84 + -25x + 2x2 = 0 Solving 84 + -25x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 42 + -12.5x + x2 = 0 Move the constant term to the right: Add '-42' to each side of the equation. 42 + -12.5x + -42 + x2 = 0 + -42 Reorder the terms: 42 + -42 + -12.5x + x2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -12.5x + x2 = 0 + -42 -12.5x + x2 = 0 + -42 Combine like terms: 0 + -42 = -42 -12.5x + x2 = -42 The x term is -12.5x. Take half its coefficient (-6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. -12.5x + 39.0625 + x2 = -42 + 39.0625 Reorder the terms: 39.0625 + -12.5x + x2 = -42 + 39.0625 Combine like terms: -42 + 39.0625 = -2.9375 39.0625 + -12.5x + x2 = -2.9375 Factor a perfect square on the left side: (x + -6.25)(x + -6.25) = -2.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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