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Simplifying 4x2 + 36x + 101 = 0 Reorder the terms: 101 + 36x + 4x2 = 0 Solving 101 + 36x + 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'. 25.25 + 9x + x2 = 0 Move the constant term to the right: Add '-25.25' to each side of the equation. 25.25 + 9x + -25.25 + x2 = 0 + -25.25 Reorder the terms: 25.25 + -25.25 + 9x + x2 = 0 + -25.25 Combine like terms: 25.25 + -25.25 = 0.00 0.00 + 9x + x2 = 0 + -25.25 9x + x2 = 0 + -25.25 Combine like terms: 0 + -25.25 = -25.25 9x + x2 = -25.25 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 = -25.25 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -25.25 + 20.25 Combine like terms: -25.25 + 20.25 = -5 20.25 + 9x + x2 = -5 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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