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Simplifying 2x2 + 2x + 75 = 0 Reorder the terms: 75 + 2x + 2x2 = 0 Solving 75 + 2x + 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'. 37.5 + x + x2 = 0 Move the constant term to the right: Add '-37.5' to each side of the equation. 37.5 + x + -37.5 + x2 = 0 + -37.5 Reorder the terms: 37.5 + -37.5 + x + x2 = 0 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + x + x2 = 0 + -37.5 x + x2 = 0 + -37.5 Combine like terms: 0 + -37.5 = -37.5 x + x2 = -37.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -37.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -37.5 + 0.25 Combine like terms: -37.5 + 0.25 = -37.25 1.25 + x2 = -37.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -37.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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