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Simplifying 4x2 + -36x = -85 Reorder the terms: -36x + 4x2 = -85 Solving -36x + 4x2 = -85 Solving for variable 'x'. Reorder the terms: 85 + -36x + 4x2 = -85 + 85 Combine like terms: -85 + 85 = 0 85 + -36x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 21.25 + -9x + x2 = 0 Move the constant term to the right: Add '-21.25' to each side of the equation. 21.25 + -9x + -21.25 + x2 = 0 + -21.25 Reorder the terms: 21.25 + -21.25 + -9x + x2 = 0 + -21.25 Combine like terms: 21.25 + -21.25 = 0.00 0.00 + -9x + x2 = 0 + -21.25 -9x + x2 = 0 + -21.25 Combine like terms: 0 + -21.25 = -21.25 -9x + x2 = -21.25 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 = -21.25 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -21.25 + 20.25 Combine like terms: -21.25 + 20.25 = -1 20.25 + -9x + x2 = -1 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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