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Simplifying 5x2 + -45x + 234 = 0 Reorder the terms: 234 + -45x + 5x2 = 0 Solving 234 + -45x + 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'. 46.8 + -9x + x2 = 0 Move the constant term to the right: Add '-46.8' to each side of the equation. 46.8 + -9x + -46.8 + x2 = 0 + -46.8 Reorder the terms: 46.8 + -46.8 + -9x + x2 = 0 + -46.8 Combine like terms: 46.8 + -46.8 = 0.0 0.0 + -9x + x2 = 0 + -46.8 -9x + x2 = 0 + -46.8 Combine like terms: 0 + -46.8 = -46.8 -9x + x2 = -46.8 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -46.8 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -46.8 + 20.25 Combine like terms: -46.8 + 20.25 = -26.55 20.25 + -9x + x2 = -26.55 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -26.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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