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Simplifying 4x2 + -27x + 98 = 0 Reorder the terms: 98 + -27x + 4x2 = 0 Solving 98 + -27x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 24.5 + -6.75x + x2 = 0 Move the constant term to the right: Add '-24.5' to each side of the equation. 24.5 + -6.75x + -24.5 + x2 = 0 + -24.5 Reorder the terms: 24.5 + -24.5 + -6.75x + x2 = 0 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + -6.75x + x2 = 0 + -24.5 -6.75x + x2 = 0 + -24.5 Combine like terms: 0 + -24.5 = -24.5 -6.75x + x2 = -24.5 The x term is -6.75x. Take half its coefficient (-3.375). Square it (11.390625) and add it to both sides. Add '11.390625' to each side of the equation. -6.75x + 11.390625 + x2 = -24.5 + 11.390625 Reorder the terms: 11.390625 + -6.75x + x2 = -24.5 + 11.390625 Combine like terms: -24.5 + 11.390625 = -13.109375 11.390625 + -6.75x + x2 = -13.109375 Factor a perfect square on the left side: (x + -3.375)(x + -3.375) = -13.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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