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Simplifying x2 + 28 + -5 = 7x Reorder the terms: 28 + -5 + x2 = 7x Combine like terms: 28 + -5 = 23 23 + x2 = 7x Solving 23 + x2 = 7x Solving for variable 'x'. Reorder the terms: 23 + -7x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 23 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + -7x + -23 + x2 = 0 + -23 Reorder the terms: 23 + -23 + -7x + x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -7x + x2 = 0 + -23 -7x + x2 = 0 + -23 Combine like terms: 0 + -23 = -23 -7x + x2 = -23 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 = -23 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -23 + 12.25 Combine like terms: -23 + 12.25 = -10.75 12.25 + -7x + x2 = -10.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -10.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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