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Simplifying 5x2 + x + 900 = 0 Reorder the terms: 900 + x + 5x2 = 0 Solving 900 + x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 180 + 0.2x + x2 = 0 Move the constant term to the right: Add '-180' to each side of the equation. 180 + 0.2x + -180 + x2 = 0 + -180 Reorder the terms: 180 + -180 + 0.2x + x2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + 0.2x + x2 = 0 + -180 0.2x + x2 = 0 + -180 Combine like terms: 0 + -180 = -180 0.2x + x2 = -180 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. 0.2x + 0.25 + x2 = -180 + 0.25 Reorder the terms: 0.25 + 0.2x + x2 = -180 + 0.25 Combine like terms: -180 + 0.25 = -179.75 0.25 + 0.2x + x2 = -179.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -179.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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