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Simplifying x2 + -9x + 28 = 0 Reorder the terms: 28 + -9x + x2 = 0 Solving 28 + -9x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -9x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -9x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -9x + x2 = 0 + -28 -9x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -9x + x2 = -28 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 = -28 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -28 + 20.25 Combine like terms: -28 + 20.25 = -7.75 20.25 + -9x + x2 = -7.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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