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Simplifying 4x2 + 57 = -28x Reorder the terms: 57 + 4x2 = -28x Solving 57 + 4x2 = -28x Solving for variable 'x'. Reorder the terms: 57 + 28x + 4x2 = -28x + 28x Combine like terms: -28x + 28x = 0 57 + 28x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 14.25 + 7x + x2 = 0 Move the constant term to the right: Add '-14.25' to each side of the equation. 14.25 + 7x + -14.25 + x2 = 0 + -14.25 Reorder the terms: 14.25 + -14.25 + 7x + x2 = 0 + -14.25 Combine like terms: 14.25 + -14.25 = 0.00 0.00 + 7x + x2 = 0 + -14.25 7x + x2 = 0 + -14.25 Combine like terms: 0 + -14.25 = -14.25 7x + x2 = -14.25 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -14.25 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -14.25 + 12.25 Combine like terms: -14.25 + 12.25 = -2 12.25 + 7x + x2 = -2 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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