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Simplifying (4x2 + -27x + 130) = 0 Reorder the terms: (130 + -27x + 4x2) = 0 Remove parenthesis around (130 + -27x + 4x2) 130 + -27x + 4x2 = 0 Solving 130 + -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'. 32.5 + -6.75x + x2 = 0 Move the constant term to the right: Add '-32.5' to each side of the equation. 32.5 + -6.75x + -32.5 + x2 = 0 + -32.5 Reorder the terms: 32.5 + -32.5 + -6.75x + x2 = 0 + -32.5 Combine like terms: 32.5 + -32.5 = 0.0 0.0 + -6.75x + x2 = 0 + -32.5 -6.75x + x2 = 0 + -32.5 Combine like terms: 0 + -32.5 = -32.5 -6.75x + x2 = -32.5 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 = -32.5 + 11.390625 Reorder the terms: 11.390625 + -6.75x + x2 = -32.5 + 11.390625 Combine like terms: -32.5 + 11.390625 = -21.109375 11.390625 + -6.75x + x2 = -21.109375 Factor a perfect square on the left side: (x + -3.375)(x + -3.375) = -21.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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