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Simplifying 4x2 + -28x + 97 = 0 Reorder the terms: 97 + -28x + 4x2 = 0 Solving 97 + -28x + 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'. 24.25 + -7x + x2 = 0 Move the constant term to the right: Add '-24.25' to each side of the equation. 24.25 + -7x + -24.25 + x2 = 0 + -24.25 Reorder the terms: 24.25 + -24.25 + -7x + x2 = 0 + -24.25 Combine like terms: 24.25 + -24.25 = 0.00 0.00 + -7x + x2 = 0 + -24.25 -7x + x2 = 0 + -24.25 Combine like terms: 0 + -24.25 = -24.25 -7x + x2 = -24.25 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 = -24.25 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -24.25 + 12.25 Combine like terms: -24.25 + 12.25 = -12 12.25 + -7x + x2 = -12 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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