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Simplifying 4x2 + 24x + 57 = 0 Reorder the terms: 57 + 24x + 4x2 = 0 Solving 57 + 24x + 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'. 14.25 + 6x + x2 = 0 Move the constant term to the right: Add '-14.25' to each side of the equation. 14.25 + 6x + -14.25 + x2 = 0 + -14.25 Reorder the terms: 14.25 + -14.25 + 6x + x2 = 0 + -14.25 Combine like terms: 14.25 + -14.25 = 0.00 0.00 + 6x + x2 = 0 + -14.25 6x + x2 = 0 + -14.25 Combine like terms: 0 + -14.25 = -14.25 6x + x2 = -14.25 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -14.25 + 9 Reorder the terms: 9 + 6x + x2 = -14.25 + 9 Combine like terms: -14.25 + 9 = -5.25 9 + 6x + x2 = -5.25 Factor a perfect square on the left side: (x + 3)(x + 3) = -5.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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